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Finding the Fourth Proportional to 543.46, 815.25 and 178.15

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Solution

The fourth proportional to 543.46, 815.25 and 178.15 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.46 : 815.25 = 178.15 : x
  2. Step 2: Convert to fraction form
    543.46/815.25 = 178.15/x
  3. Step 3: Cross multiply
    543.46x = 815.25 × 178.15
  4. Step 4: Simplify right side
    543.46x = 145,236.79
  5. Step 5: Solve for x
    x = 145,236.79/543.46
  6. Step 6: Final answer
    x = 267.24

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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.