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Finding the Fourth Proportional to 256.68, 385.61 and 165.55

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Solution

The fourth proportional to 256.68, 385.61 and 165.55 is: 248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.68 : 385.61 = 165.55 : x
  2. Step 2: Convert to fraction form
    256.68/385.61 = 165.55/x
  3. Step 3: Cross multiply
    256.68x = 385.61 × 165.55
  4. Step 4: Simplify right side
    256.68x = 63,837.74
  5. Step 5: Solve for x
    x = 63,837.74/256.68
  6. Step 6: Final answer
    x = 248.71

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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.