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Finding the Fourth Proportional to 171.78, 257.15 and 122.97

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Solution

The fourth proportional to 171.78, 257.15 and 122.97 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 257.15 = 122.97 : x
  2. Step 2: Convert to fraction form
    171.78/257.15 = 122.97/x
  3. Step 3: Cross multiply
    171.78x = 257.15 × 122.97
  4. Step 4: Simplify right side
    171.78x = 31,621.12
  5. Step 5: Solve for x
    x = 31,621.12/171.78
  6. Step 6: Final answer
    x = 184.08

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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.