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Finding the Fourth Proportional to 171.57, 256.95 and 166.71

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Solution

The fourth proportional to 171.57, 256.95 and 166.71 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.57 : 256.95 = 166.71 : x
  2. Step 2: Convert to fraction form
    171.57/256.95 = 166.71/x
  3. Step 3: Cross multiply
    171.57x = 256.95 × 166.71
  4. Step 4: Simplify right side
    171.57x = 42,836.13
  5. Step 5: Solve for x
    x = 42,836.13/171.57
  6. Step 6: Final answer
    x = 249.67

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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.