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Finding the Fourth Proportional to 242.38, 363.52 and 69.00

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Solution

The fourth proportional to 242.38, 363.52 and 69.00 is: 103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.38 : 363.52 = 69.00 : x
  2. Step 2: Convert to fraction form
    242.38/363.52 = 69.00/x
  3. Step 3: Cross multiply
    242.38x = 363.52 × 69.00
  4. Step 4: Simplify right side
    242.38x = 25,081.21
  5. Step 5: Solve for x
    x = 25,081.21/242.38
  6. Step 6: Final answer
    x = 103.48

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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.