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Finding the Fourth Proportional to 372.34, 558.45 and 115.84

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Solution

The fourth proportional to 372.34, 558.45 and 115.84 is: 173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.34 : 558.45 = 115.84 : x
  2. Step 2: Convert to fraction form
    372.34/558.45 = 115.84/x
  3. Step 3: Cross multiply
    372.34x = 558.45 × 115.84
  4. Step 4: Simplify right side
    372.34x = 64,690.85
  5. Step 5: Solve for x
    x = 64,690.85/372.34
  6. Step 6: Final answer
    x = 173.74

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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.