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Finding the Fourth Proportional to 171, 256.33 and 79.74

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Solution

The fourth proportional to 171, 256.33 and 79.74 is: 119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 256.33 = 79.74 : x
  2. Step 2: Convert to fraction form
    171/256.33 = 79.74/x
  3. Step 3: Cross multiply
    171x = 256.33 × 79.74
  4. Step 4: Simplify right side
    171x = 20,439.75
  5. Step 5: Solve for x
    x = 20,439.75/171
  6. Step 6: Final answer
    x = 119.53

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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.