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Finding the Fourth Proportional to 221.42, 305.47 and 142.76

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Solution

The fourth proportional to 221.42, 305.47 and 142.76 is: 196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 305.47 = 142.76 : x
  2. Step 2: Convert to fraction form
    221.42/305.47 = 142.76/x
  3. Step 3: Cross multiply
    221.42x = 305.47 × 142.76
  4. Step 4: Simplify right side
    221.42x = 43,609.84
  5. Step 5: Solve for x
    x = 43,609.84/221.42
  6. Step 6: Final answer
    x = 196.95

Related Problems

Find fourth proportional to 110.71, 152.74 and 71.38
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.