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Finding the Fourth Proportional to 361.41, 542.13 and 97.90

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Solution

The fourth proportional to 361.41, 542.13 and 97.90 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.41 : 542.13 = 97.90 : x
  2. Step 2: Convert to fraction form
    361.41/542.13 = 97.90/x
  3. Step 3: Cross multiply
    361.41x = 542.13 × 97.90
  4. Step 4: Simplify right side
    361.41x = 53,074.53
  5. Step 5: Solve for x
    x = 53,074.53/361.41
  6. Step 6: Final answer
    x = 146.86

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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.