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Finding the Fourth Proportional to 361.74, 542.62 and 111.58

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Solution

The fourth proportional to 361.74, 542.62 and 111.58 is: 167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.74 : 542.62 = 111.58 : x
  2. Step 2: Convert to fraction form
    361.74/542.62 = 111.58/x
  3. Step 3: Cross multiply
    361.74x = 542.62 × 111.58
  4. Step 4: Simplify right side
    361.74x = 60,545.13
  5. Step 5: Solve for x
    x = 60,545.13/361.74
  6. Step 6: Final answer
    x = 167.37

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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.