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Finding the Fourth Proportional to 223.62, 308.56 and 130.34

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Solution

The fourth proportional to 223.62, 308.56 and 130.34 is: 179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.62 : 308.56 = 130.34 : x
  2. Step 2: Convert to fraction form
    223.62/308.56 = 130.34/x
  3. Step 3: Cross multiply
    223.62x = 308.56 × 130.34
  4. Step 4: Simplify right side
    223.62x = 40,217.71
  5. Step 5: Solve for x
    x = 40,217.71/223.62
  6. Step 6: Final answer
    x = 179.85

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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.