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Finding the Fourth Proportional to 219.42, 302.76 and 141.84

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Solution

The fourth proportional to 219.42, 302.76 and 141.84 is: 195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 302.76 = 141.84 : x
  2. Step 2: Convert to fraction form
    219.42/302.76 = 141.84/x
  3. Step 3: Cross multiply
    219.42x = 302.76 × 141.84
  4. Step 4: Simplify right side
    219.42x = 42,943.48
  5. Step 5: Solve for x
    x = 42,943.48/219.42
  6. Step 6: Final answer
    x = 195.71

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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.