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Finding the Fourth Proportional to 223.44, 308.36 and 130.19

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Solution

The fourth proportional to 223.44, 308.36 and 130.19 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.44 : 308.36 = 130.19 : x
  2. Step 2: Convert to fraction form
    223.44/308.36 = 130.19/x
  3. Step 3: Cross multiply
    223.44x = 308.36 × 130.19
  4. Step 4: Simplify right side
    223.44x = 40,143.20
  5. Step 5: Solve for x
    x = 40,143.20/223.44
  6. Step 6: Final answer
    x = 179.66

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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.