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Finding the Fourth Proportional to 223.28, 308.05 and 130.01

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Solution

The fourth proportional to 223.28, 308.05 and 130.01 is: 179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.28 : 308.05 = 130.01 : x
  2. Step 2: Convert to fraction form
    223.28/308.05 = 130.01/x
  3. Step 3: Cross multiply
    223.28x = 308.05 × 130.01
  4. Step 4: Simplify right side
    223.28x = 40,049.58
  5. Step 5: Solve for x
    x = 40,049.58/223.28
  6. Step 6: Final answer
    x = 179.37

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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.