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Finding the Fourth Proportional to 372.38, 558.08 and 189.92

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Solution

The fourth proportional to 372.38, 558.08 and 189.92 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.38 : 558.08 = 189.92 : x
  2. Step 2: Convert to fraction form
    372.38/558.08 = 189.92/x
  3. Step 3: Cross multiply
    372.38x = 558.08 × 189.92
  4. Step 4: Simplify right side
    372.38x = 105,990.55
  5. Step 5: Solve for x
    x = 105,990.55/372.38
  6. Step 6: Final answer
    x = 284.63

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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.