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Finding the Fourth Proportional to 542.75, 814.14 and 200.75

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Solution

The fourth proportional to 542.75, 814.14 and 200.75 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 814.14 = 200.75 : x
  2. Step 2: Convert to fraction form
    542.75/814.14 = 200.75/x
  3. Step 3: Cross multiply
    542.75x = 814.14 × 200.75
  4. Step 4: Simplify right side
    542.75x = 163,438.61
  5. Step 5: Solve for x
    x = 163,438.61/542.75
  6. Step 6: Final answer
    x = 301.13

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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.