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Finding the Fourth Proportional to 171.66, 257.20 and 137.24

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Solution

The fourth proportional to 171.66, 257.20 and 137.24 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.66 : 257.20 = 137.24 : x
  2. Step 2: Convert to fraction form
    171.66/257.20 = 137.24/x
  3. Step 3: Cross multiply
    171.66x = 257.20 × 137.24
  4. Step 4: Simplify right side
    171.66x = 35,298.13
  5. Step 5: Solve for x
    x = 35,298.13/171.66
  6. Step 6: Final answer
    x = 205.63

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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.