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Finding the Fourth Proportional to 361.31, 542.14 and 178.72

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Solution

The fourth proportional to 361.31, 542.14 and 178.72 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.31 : 542.14 = 178.72 : x
  2. Step 2: Convert to fraction form
    361.31/542.14 = 178.72/x
  3. Step 3: Cross multiply
    361.31x = 542.14 × 178.72
  4. Step 4: Simplify right side
    361.31x = 96,890.10
  5. Step 5: Solve for x
    x = 96,890.10/361.31
  6. Step 6: Final answer
    x = 268.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.