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Finding the Fourth Proportional to 372.80, 558.98 and 177.86

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Solution

The fourth proportional to 372.80, 558.98 and 177.86 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.80 : 558.98 = 177.86 : x
  2. Step 2: Convert to fraction form
    372.80/558.98 = 177.86/x
  3. Step 3: Cross multiply
    372.80x = 558.98 × 177.86
  4. Step 4: Simplify right side
    372.80x = 99,420.69
  5. Step 5: Solve for x
    x = 99,420.69/372.80
  6. Step 6: Final answer
    x = 266.68

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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.