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Finding the Fourth Proportional to 256.84, 353.37 and 224.17

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Solution

The fourth proportional to 256.84, 353.37 and 224.17 is: 308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.84 : 353.37 = 224.17 : x
  2. Step 2: Convert to fraction form
    256.84/353.37 = 224.17/x
  3. Step 3: Cross multiply
    256.84x = 353.37 × 224.17
  4. Step 4: Simplify right side
    256.84x = 79,214.95
  5. Step 5: Solve for x
    x = 79,214.95/256.84
  6. Step 6: Final answer
    x = 308.42

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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.