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Finding the Fourth Proportional to 372.31, 558.39 and 138

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Solution

The fourth proportional to 372.31, 558.39 and 138 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.31 : 558.39 = 138 : x
  2. Step 2: Convert to fraction form
    372.31/558.39 = 138/x
  3. Step 3: Cross multiply
    372.31x = 558.39 × 138
  4. Step 4: Simplify right side
    372.31x = 77,057.82
  5. Step 5: Solve for x
    x = 77,057.82/372.31
  6. Step 6: Final answer
    x = 206.97

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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.