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Finding the Fourth Proportional to 223.26, 308.10 and 130.02

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Solution

The fourth proportional to 223.26, 308.10 and 130.02 is: 179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 308.10 = 130.02 : x
  2. Step 2: Convert to fraction form
    223.26/308.10 = 130.02/x
  3. Step 3: Cross multiply
    223.26x = 308.10 × 130.02
  4. Step 4: Simplify right side
    223.26x = 40,059.16
  5. Step 5: Solve for x
    x = 40,059.16/223.26
  6. Step 6: Final answer
    x = 179.43

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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.