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Finding the Fourth Proportional to 371.92, 557.90 and 177.02

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Solution

The fourth proportional to 371.92, 557.90 and 177.02 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.92 : 557.90 = 177.02 : x
  2. Step 2: Convert to fraction form
    371.92/557.90 = 177.02/x
  3. Step 3: Cross multiply
    371.92x = 557.90 × 177.02
  4. Step 4: Simplify right side
    371.92x = 98,759.46
  5. Step 5: Solve for x
    x = 98,759.46/371.92
  6. Step 6: Final answer
    x = 265.54

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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.