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Finding the Fourth Proportional to 372.53, 559.05 and 129.06

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Solution

The fourth proportional to 372.53, 559.05 and 129.06 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.53 : 559.05 = 129.06 : x
  2. Step 2: Convert to fraction form
    372.53/559.05 = 129.06/x
  3. Step 3: Cross multiply
    372.53x = 559.05 × 129.06
  4. Step 4: Simplify right side
    372.53x = 72,149.92
  5. Step 5: Solve for x
    x = 72,149.92/372.53
  6. Step 6: Final answer
    x = 193.67

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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.