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Finding the Fourth Proportional to 256.16, 353.50 and 157.82

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Solution

The fourth proportional to 256.16, 353.50 and 157.82 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 353.50 = 157.82 : x
  2. Step 2: Convert to fraction form
    256.16/353.50 = 157.82/x
  3. Step 3: Cross multiply
    256.16x = 353.50 × 157.82
  4. Step 4: Simplify right side
    256.16x = 55,787.21
  5. Step 5: Solve for x
    x = 55,787.21/256.16
  6. Step 6: Final answer
    x = 217.78

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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.