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Finding the Fourth Proportional to 372.43, 558.33 and 177.32

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Solution

The fourth proportional to 372.43, 558.33 and 177.32 is: 265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.43 : 558.33 = 177.32 : x
  2. Step 2: Convert to fraction form
    372.43/558.33 = 177.32/x
  3. Step 3: Cross multiply
    372.43x = 558.33 × 177.32
  4. Step 4: Simplify right side
    372.43x = 99,003.08
  5. Step 5: Solve for x
    x = 99,003.08/372.43
  6. Step 6: Final answer
    x = 265.83

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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.