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Finding the Fourth Proportional to 256.22, 353.60 and 157.93

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Solution

The fourth proportional to 256.22, 353.60 and 157.93 is: 217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.22 : 353.60 = 157.93 : x
  2. Step 2: Convert to fraction form
    256.22/353.60 = 157.93/x
  3. Step 3: Cross multiply
    256.22x = 353.60 × 157.93
  4. Step 4: Simplify right side
    256.22x = 55,842.97
  5. Step 5: Solve for x
    x = 55,842.97/256.22
  6. Step 6: Final answer
    x = 217.95

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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.