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Finding the Fourth Proportional to 373.46, 560.24 and 129.95

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Solution

The fourth proportional to 373.46, 560.24 and 129.95 is: 194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.46 : 560.24 = 129.95 : x
  2. Step 2: Convert to fraction form
    373.46/560.24 = 129.95/x
  3. Step 3: Cross multiply
    373.46x = 560.24 × 129.95
  4. Step 4: Simplify right side
    373.46x = 72,802.33
  5. Step 5: Solve for x
    x = 72,802.33/373.46
  6. Step 6: Final answer
    x = 194.94

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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.