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Finding the Fourth Proportional to 171.31, 257.51 and 142.60

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Solution

The fourth proportional to 171.31, 257.51 and 142.60 is: 214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.31 : 257.51 = 142.60 : x
  2. Step 2: Convert to fraction form
    171.31/257.51 = 142.60/x
  3. Step 3: Cross multiply
    171.31x = 257.51 × 142.60
  4. Step 4: Simplify right side
    171.31x = 36,720.93
  5. Step 5: Solve for x
    x = 36,720.93/171.31
  6. Step 6: Final answer
    x = 214.35

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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.