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Finding the Fourth Proportional to 372.60, 559.17 and 189.95

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Solution

The fourth proportional to 372.60, 559.17 and 189.95 is: 285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.60 : 559.17 = 189.95 : x
  2. Step 2: Convert to fraction form
    372.60/559.17 = 189.95/x
  3. Step 3: Cross multiply
    372.60x = 559.17 × 189.95
  4. Step 4: Simplify right side
    372.60x = 106,211.55
  5. Step 5: Solve for x
    x = 106,211.55/372.60
  6. Step 6: Final answer
    x = 285.06

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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.