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Finding the Fourth Proportional to 221.42, 305.64 and 158.48

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Solution

The fourth proportional to 221.42, 305.64 and 158.48 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 305.64 = 158.48 : x
  2. Step 2: Convert to fraction form
    221.42/305.64 = 158.48/x
  3. Step 3: Cross multiply
    221.42x = 305.64 × 158.48
  4. Step 4: Simplify right side
    221.42x = 48,437.83
  5. Step 5: Solve for x
    x = 48,437.83/221.42
  6. Step 6: Final answer
    x = 218.76

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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.