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Finding the Fourth Proportional to 256.71, 385.04 and 179.45

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Solution

The fourth proportional to 256.71, 385.04 and 179.45 is: 269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.71 : 385.04 = 179.45 : x
  2. Step 2: Convert to fraction form
    256.71/385.04 = 179.45/x
  3. Step 3: Cross multiply
    256.71x = 385.04 × 179.45
  4. Step 4: Simplify right side
    256.71x = 69,092.61
  5. Step 5: Solve for x
    x = 69,092.61/256.71
  6. Step 6: Final answer
    x = 269.15

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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.