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Finding the Fourth Proportional to 372.37, 558.49 and 138.06

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Solution

The fourth proportional to 372.37, 558.49 and 138.06 is: 207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.37 : 558.49 = 138.06 : x
  2. Step 2: Convert to fraction form
    372.37/558.49 = 138.06/x
  3. Step 3: Cross multiply
    372.37x = 558.49 × 138.06
  4. Step 4: Simplify right side
    372.37x = 77,105.13
  5. Step 5: Solve for x
    x = 77,105.13/372.37
  6. Step 6: Final answer
    x = 207.07

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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.