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Finding the Fourth Proportional to 543.10, 814.46 and 177.78

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Solution

The fourth proportional to 543.10, 814.46 and 177.78 is: 266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.10 : 814.46 = 177.78 : x
  2. Step 2: Convert to fraction form
    543.10/814.46 = 177.78/x
  3. Step 3: Cross multiply
    543.10x = 814.46 × 177.78
  4. Step 4: Simplify right side
    543.10x = 144,794.70
  5. Step 5: Solve for x
    x = 144,794.70/543.10
  6. Step 6: Final answer
    x = 266.61

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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.