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Finding the Fourth Proportional to 543.38, 814.91 and 178.07

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Solution

The fourth proportional to 543.38, 814.91 and 178.07 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.38 : 814.91 = 178.07 : x
  2. Step 2: Convert to fraction form
    543.38/814.91 = 178.07/x
  3. Step 3: Cross multiply
    543.38x = 814.91 × 178.07
  4. Step 4: Simplify right side
    543.38x = 145,106.06
  5. Step 5: Solve for x
    x = 145,106.06/543.38
  6. Step 6: Final answer
    x = 267.05

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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.