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Finding the Fourth Proportional to 256.82, 354.25 and 224.15

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Solution

The fourth proportional to 256.82, 354.25 and 224.15 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 354.25 = 224.15 : x
  2. Step 2: Convert to fraction form
    256.82/354.25 = 224.15/x
  3. Step 3: Cross multiply
    256.82x = 354.25 × 224.15
  4. Step 4: Simplify right side
    256.82x = 79,405.14
  5. Step 5: Solve for x
    x = 79,405.14/256.82
  6. Step 6: Final answer
    x = 309.19

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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.