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Finding the Fourth Proportional to 371.92, 557.84 and 242.12

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Solution

The fourth proportional to 371.92, 557.84 and 242.12 is: 363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.92 : 557.84 = 242.12 : x
  2. Step 2: Convert to fraction form
    371.92/557.84 = 242.12/x
  3. Step 3: Cross multiply
    371.92x = 557.84 × 242.12
  4. Step 4: Simplify right side
    371.92x = 135,064.22
  5. Step 5: Solve for x
    x = 135,064.22/371.92
  6. Step 6: Final answer
    x = 363.15

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Why These Related Problems?

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