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Finding the Fourth Proportional to 542.22, 813.41 and 171.90

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Solution

The fourth proportional to 542.22, 813.41 and 171.90 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.22 : 813.41 = 171.90 : x
  2. Step 2: Convert to fraction form
    542.22/813.41 = 171.90/x
  3. Step 3: Cross multiply
    542.22x = 813.41 × 171.90
  4. Step 4: Simplify right side
    542.22x = 139,825.18
  5. Step 5: Solve for x
    x = 139,825.18/542.22
  6. Step 6: Final answer
    x = 257.88

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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.