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Finding the Fourth Proportional to 256.40, 353.82 and 151.48

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Solution

The fourth proportional to 256.40, 353.82 and 151.48 is: 209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.40 : 353.82 = 151.48 : x
  2. Step 2: Convert to fraction form
    256.40/353.82 = 151.48/x
  3. Step 3: Cross multiply
    256.40x = 353.82 × 151.48
  4. Step 4: Simplify right side
    256.40x = 53,596.53
  5. Step 5: Solve for x
    x = 53,596.53/256.40
  6. Step 6: Final answer
    x = 209.04

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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.