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Finding the Fourth Proportional to 256.26, 353.65 and 158

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Solution

The fourth proportional to 256.26, 353.65 and 158 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 353.65 = 158 : x
  2. Step 2: Convert to fraction form
    256.26/353.65 = 158/x
  3. Step 3: Cross multiply
    256.26x = 353.65 × 158
  4. Step 4: Simplify right side
    256.26x = 55,876.70
  5. Step 5: Solve for x
    x = 55,876.70/256.26
  6. Step 6: Final answer
    x = 218.05

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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.