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Finding the Fourth Proportional to 242.40, 363.28 and 126.88

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Solution

The fourth proportional to 242.40, 363.28 and 126.88 is: 190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 363.28 = 126.88 : x
  2. Step 2: Convert to fraction form
    242.40/363.28 = 126.88/x
  3. Step 3: Cross multiply
    242.40x = 363.28 × 126.88
  4. Step 4: Simplify right side
    242.40x = 46,092.97
  5. Step 5: Solve for x
    x = 46,092.97/242.40
  6. Step 6: Final answer
    x = 190.15

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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.