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Finding the Fourth Proportional to 542.70, 814.08 and 177.50

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Solution

The fourth proportional to 542.70, 814.08 and 177.50 is: 266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.70 : 814.08 = 177.50 : x
  2. Step 2: Convert to fraction form
    542.70/814.08 = 177.50/x
  3. Step 3: Cross multiply
    542.70x = 814.08 × 177.50
  4. Step 4: Simplify right side
    542.70x = 144,499.20
  5. Step 5: Solve for x
    x = 144,499.20/542.70
  6. Step 6: Final answer
    x = 266.26

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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.