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Finding the Fourth Proportional to 256.29, 353.89 and 167.84

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Solution

The fourth proportional to 256.29, 353.89 and 167.84 is: 231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 353.89 = 167.84 : x
  2. Step 2: Convert to fraction form
    256.29/353.89 = 167.84/x
  3. Step 3: Cross multiply
    256.29x = 353.89 × 167.84
  4. Step 4: Simplify right side
    256.29x = 59,394.29
  5. Step 5: Solve for x
    x = 59,394.29/256.29
  6. Step 6: Final answer
    x = 231.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.