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Finding the Fourth Proportional to 373.69, 560.20 and 178.57

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Solution

The fourth proportional to 373.69, 560.20 and 178.57 is: 267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.69 : 560.20 = 178.57 : x
  2. Step 2: Convert to fraction form
    373.69/560.20 = 178.57/x
  3. Step 3: Cross multiply
    373.69x = 560.20 × 178.57
  4. Step 4: Simplify right side
    373.69x = 100,034.91
  5. Step 5: Solve for x
    x = 100,034.91/373.69
  6. Step 6: Final answer
    x = 267.69

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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.