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Finding the Fourth Proportional to 223.29, 308.14 and 157.88

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Solution

The fourth proportional to 223.29, 308.14 and 157.88 is: 217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.29 : 308.14 = 157.88 : x
  2. Step 2: Convert to fraction form
    223.29/308.14 = 157.88/x
  3. Step 3: Cross multiply
    223.29x = 308.14 × 157.88
  4. Step 4: Simplify right side
    223.29x = 48,649.52
  5. Step 5: Solve for x
    x = 48,649.52/223.29
  6. Step 6: Final answer
    x = 217.88

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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.