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Finding the Fourth Proportional to 171.52, 256.80 and 164.16

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Solution

The fourth proportional to 171.52, 256.80 and 164.16 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.52 : 256.80 = 164.16 : x
  2. Step 2: Convert to fraction form
    171.52/256.80 = 164.16/x
  3. Step 3: Cross multiply
    171.52x = 256.80 × 164.16
  4. Step 4: Simplify right side
    171.52x = 42,156.29
  5. Step 5: Solve for x
    x = 42,156.29/171.52
  6. Step 6: Final answer
    x = 245.78

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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.