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Finding the Fourth Proportional to 242.38, 363.60 and 80.04

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Solution

The fourth proportional to 242.38, 363.60 and 80.04 is: 120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.38 : 363.60 = 80.04 : x
  2. Step 2: Convert to fraction form
    242.38/363.60 = 80.04/x
  3. Step 3: Cross multiply
    242.38x = 363.60 × 80.04
  4. Step 4: Simplify right side
    242.38x = 29,102.54
  5. Step 5: Solve for x
    x = 29,102.54/242.38
  6. Step 6: Final answer
    x = 120.07

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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.