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Finding the Fourth Proportional to 256.27, 353.88 and 173.38

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Solution

The fourth proportional to 256.27, 353.88 and 173.38 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.27 : 353.88 = 173.38 : x
  2. Step 2: Convert to fraction form
    256.27/353.88 = 173.38/x
  3. Step 3: Cross multiply
    256.27x = 353.88 × 173.38
  4. Step 4: Simplify right side
    256.27x = 61,353.08
  5. Step 5: Solve for x
    x = 61,353.08/256.27
  6. Step 6: Final answer
    x = 239.41

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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.