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Finding the Fourth Proportional to 171.38, 256.64 and 166.25

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Solution

The fourth proportional to 171.38, 256.64 and 166.25 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.38 : 256.64 = 166.25 : x
  2. Step 2: Convert to fraction form
    171.38/256.64 = 166.25/x
  3. Step 3: Cross multiply
    171.38x = 256.64 × 166.25
  4. Step 4: Simplify right side
    171.38x = 42,666.21
  5. Step 5: Solve for x
    x = 42,666.21/171.38
  6. Step 6: Final answer
    x = 248.95

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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.