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Finding the Fourth Proportional to 542.75, 814.19 and 177.57

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Solution

The fourth proportional to 542.75, 814.19 and 177.57 is: 266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 814.19 = 177.57 : x
  2. Step 2: Convert to fraction form
    542.75/814.19 = 177.57/x
  3. Step 3: Cross multiply
    542.75x = 814.19 × 177.57
  4. Step 4: Simplify right side
    542.75x = 144,574.83
  5. Step 5: Solve for x
    x = 144,574.83/542.75
  6. Step 6: Final answer
    x = 266.38

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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.