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Finding the Fourth Proportional to 256.82, 354.13 and 183.11

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Solution

The fourth proportional to 256.82, 354.13 and 183.11 is: 252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 354.13 = 183.11 : x
  2. Step 2: Convert to fraction form
    256.82/354.13 = 183.11/x
  3. Step 3: Cross multiply
    256.82x = 354.13 × 183.11
  4. Step 4: Simplify right side
    256.82x = 64,842.52
  5. Step 5: Solve for x
    x = 64,842.52/256.82
  6. Step 6: Final answer
    x = 252.49

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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.