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Finding the Fourth Proportional to 256.50, 353.80 and 158.29

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Solution

The fourth proportional to 256.50, 353.80 and 158.29 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 353.80 = 158.29 : x
  2. Step 2: Convert to fraction form
    256.50/353.80 = 158.29/x
  3. Step 3: Cross multiply
    256.50x = 353.80 × 158.29
  4. Step 4: Simplify right side
    256.50x = 56,002.32
  5. Step 5: Solve for x
    x = 56,002.32/256.50
  6. Step 6: Final answer
    x = 218.33

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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.