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Finding the Fourth Proportional to 256.52, 354.02 and 194.24

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Solution

The fourth proportional to 256.52, 354.02 and 194.24 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.52 : 354.02 = 194.24 : x
  2. Step 2: Convert to fraction form
    256.52/354.02 = 194.24/x
  3. Step 3: Cross multiply
    256.52x = 354.02 × 194.24
  4. Step 4: Simplify right side
    256.52x = 68,764.76
  5. Step 5: Solve for x
    x = 68,764.76/256.52
  6. Step 6: Final answer
    x = 268.07

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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.