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Finding the Fourth Proportional to 372.12, 558.08 and 137.83

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Solution

The fourth proportional to 372.12, 558.08 and 137.83 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.12 : 558.08 = 137.83 : x
  2. Step 2: Convert to fraction form
    372.12/558.08 = 137.83/x
  3. Step 3: Cross multiply
    372.12x = 558.08 × 137.83
  4. Step 4: Simplify right side
    372.12x = 76,920.17
  5. Step 5: Solve for x
    x = 76,920.17/372.12
  6. Step 6: Final answer
    x = 206.71

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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.