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Finding the Fourth Proportional to 242.57, 362.42 and 240.41

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Solution

The fourth proportional to 242.57, 362.42 and 240.41 is: 359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.57 : 362.42 = 240.41 : x
  2. Step 2: Convert to fraction form
    242.57/362.42 = 240.41/x
  3. Step 3: Cross multiply
    242.57x = 362.42 × 240.41
  4. Step 4: Simplify right side
    242.57x = 87,129.39
  5. Step 5: Solve for x
    x = 87,129.39/242.57
  6. Step 6: Final answer
    x = 359.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.