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Finding the Fourth Proportional to 542.78, 814.26 and 177.57

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Solution

The fourth proportional to 542.78, 814.26 and 177.57 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 814.26 = 177.57 : x
  2. Step 2: Convert to fraction form
    542.78/814.26 = 177.57/x
  3. Step 3: Cross multiply
    542.78x = 814.26 × 177.57
  4. Step 4: Simplify right side
    542.78x = 144,588.15
  5. Step 5: Solve for x
    x = 144,588.15/542.78
  6. Step 6: Final answer
    x = 266.39

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1.5x scale

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.