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Finding the Fourth Proportional to 171.59, 256.80 and 130.77

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Solution

The fourth proportional to 171.59, 256.80 and 130.77 is: 195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.59 : 256.80 = 130.77 : x
  2. Step 2: Convert to fraction form
    171.59/256.80 = 130.77/x
  3. Step 3: Cross multiply
    171.59x = 256.80 × 130.77
  4. Step 4: Simplify right side
    171.59x = 33,581.74
  5. Step 5: Solve for x
    x = 33,581.74/171.59
  6. Step 6: Final answer
    x = 195.71

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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.