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Finding the Fourth Proportional to 372.28, 557.61 and 179.50

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Solution

The fourth proportional to 372.28, 557.61 and 179.50 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.28 : 557.61 = 179.50 : x
  2. Step 2: Convert to fraction form
    372.28/557.61 = 179.50/x
  3. Step 3: Cross multiply
    372.28x = 557.61 × 179.50
  4. Step 4: Simplify right side
    372.28x = 100,091.00
  5. Step 5: Solve for x
    x = 100,091.00/372.28
  6. Step 6: Final answer
    x = 268.86

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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.