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Finding the Fourth Proportional to 373.24, 559.91 and 129.74

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Solution

The fourth proportional to 373.24, 559.91 and 129.74 is: 194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.24 : 559.91 = 129.74 : x
  2. Step 2: Convert to fraction form
    373.24/559.91 = 129.74/x
  3. Step 3: Cross multiply
    373.24x = 559.91 × 129.74
  4. Step 4: Simplify right side
    373.24x = 72,640.25
  5. Step 5: Solve for x
    x = 72,640.25/373.24
  6. Step 6: Final answer
    x = 194.62

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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.