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Finding the Fourth Proportional to 254.29, 351.05 and 171.83

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Solution

The fourth proportional to 254.29, 351.05 and 171.83 is: 237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.29 : 351.05 = 171.83 : x
  2. Step 2: Convert to fraction form
    254.29/351.05 = 171.83/x
  3. Step 3: Cross multiply
    254.29x = 351.05 × 171.83
  4. Step 4: Simplify right side
    254.29x = 60,320.92
  5. Step 5: Solve for x
    x = 60,320.92/254.29
  6. Step 6: Final answer
    x = 237.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.