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Finding the Fourth Proportional to 171.77, 256.39 and 151.26

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Solution

The fourth proportional to 171.77, 256.39 and 151.26 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.77 : 256.39 = 151.26 : x
  2. Step 2: Convert to fraction form
    171.77/256.39 = 151.26/x
  3. Step 3: Cross multiply
    171.77x = 256.39 × 151.26
  4. Step 4: Simplify right side
    171.77x = 38,781.17
  5. Step 5: Solve for x
    x = 38,781.17/171.77
  6. Step 6: Final answer
    x = 225.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.