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Finding the Fourth Proportional to 543.67, 814.92 and 178.36

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Solution

The fourth proportional to 543.67, 814.92 and 178.36 is: 267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.67 : 814.92 = 178.36 : x
  2. Step 2: Convert to fraction form
    543.67/814.92 = 178.36/x
  3. Step 3: Cross multiply
    543.67x = 814.92 × 178.36
  4. Step 4: Simplify right side
    543.67x = 145,345.06
  5. Step 5: Solve for x
    x = 145,345.06/543.67
  6. Step 6: Final answer
    x = 267.34

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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.