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Finding the Fourth Proportional to 256.17, 352.71 and 219.18

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Solution

The fourth proportional to 256.17, 352.71 and 219.18 is: 301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.17 : 352.71 = 219.18 : x
  2. Step 2: Convert to fraction form
    256.17/352.71 = 219.18/x
  3. Step 3: Cross multiply
    256.17x = 352.71 × 219.18
  4. Step 4: Simplify right side
    256.17x = 77,306.98
  5. Step 5: Solve for x
    x = 77,306.98/256.17
  6. Step 6: Final answer
    x = 301.78

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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.