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Finding the Fourth Proportional to 256.67, 354.22 and 151.82

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Solution

The fourth proportional to 256.67, 354.22 and 151.82 is: 209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.67 : 354.22 = 151.82 : x
  2. Step 2: Convert to fraction form
    256.67/354.22 = 151.82/x
  3. Step 3: Cross multiply
    256.67x = 354.22 × 151.82
  4. Step 4: Simplify right side
    256.67x = 53,777.68
  5. Step 5: Solve for x
    x = 53,777.68/256.67
  6. Step 6: Final answer
    x = 209.52

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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.