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Finding the Fourth Proportional to 256.24, 353.78 and 158.05

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Solution

The fourth proportional to 256.24, 353.78 and 158.05 is: 218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.24 : 353.78 = 158.05 : x
  2. Step 2: Convert to fraction form
    256.24/353.78 = 158.05/x
  3. Step 3: Cross multiply
    256.24x = 353.78 × 158.05
  4. Step 4: Simplify right side
    256.24x = 55,914.93
  5. Step 5: Solve for x
    x = 55,914.93/256.24
  6. Step 6: Final answer
    x = 218.21

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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.