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Finding the Fourth Proportional to 361.85, 542.72 and 118.38

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Solution

The fourth proportional to 361.85, 542.72 and 118.38 is: 177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.85 : 542.72 = 118.38 : x
  2. Step 2: Convert to fraction form
    361.85/542.72 = 118.38/x
  3. Step 3: Cross multiply
    361.85x = 542.72 × 118.38
  4. Step 4: Simplify right side
    361.85x = 64,246.60
  5. Step 5: Solve for x
    x = 64,246.60/361.85
  6. Step 6: Final answer
    x = 177.55

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