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Finding the Fourth Proportional to 543.73, 815.46 and 178.47

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Solution

The fourth proportional to 543.73, 815.46 and 178.47 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.73 : 815.46 = 178.47 : x
  2. Step 2: Convert to fraction form
    543.73/815.46 = 178.47/x
  3. Step 3: Cross multiply
    543.73x = 815.46 × 178.47
  4. Step 4: Simplify right side
    543.73x = 145,535.15
  5. Step 5: Solve for x
    x = 145,535.15/543.73
  6. Step 6: Final answer
    x = 267.66

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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.