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Finding the Fourth Proportional to 171.18, 256.86 and 123.48

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Solution

The fourth proportional to 171.18, 256.86 and 123.48 is: 185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.18 : 256.86 = 123.48 : x
  2. Step 2: Convert to fraction form
    171.18/256.86 = 123.48/x
  3. Step 3: Cross multiply
    171.18x = 256.86 × 123.48
  4. Step 4: Simplify right side
    171.18x = 31,717.07
  5. Step 5: Solve for x
    x = 31,717.07/171.18
  6. Step 6: Final answer
    x = 185.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.