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Finding the Fourth Proportional to 256.95, 354.54 and 169.57

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Solution

The fourth proportional to 256.95, 354.54 and 169.57 is: 233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 354.54 = 169.57 : x
  2. Step 2: Convert to fraction form
    256.95/354.54 = 169.57/x
  3. Step 3: Cross multiply
    256.95x = 354.54 × 169.57
  4. Step 4: Simplify right side
    256.95x = 60,119.35
  5. Step 5: Solve for x
    x = 60,119.35/256.95
  6. Step 6: Final answer
    x = 233.97

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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.