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Finding the Fourth Proportional to 171.24, 256.57 and 164.91

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Solution

The fourth proportional to 171.24, 256.57 and 164.91 is: 247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 256.57 = 164.91 : x
  2. Step 2: Convert to fraction form
    171.24/256.57 = 164.91/x
  3. Step 3: Cross multiply
    171.24x = 256.57 × 164.91
  4. Step 4: Simplify right side
    171.24x = 42,310.79
  5. Step 5: Solve for x
    x = 42,310.79/171.24
  6. Step 6: Final answer
    x = 247.09

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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.