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Finding the Fourth Proportional to 223.44, 308.40 and 136.24

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Solution

The fourth proportional to 223.44, 308.40 and 136.24 is: 188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.44 : 308.40 = 136.24 : x
  2. Step 2: Convert to fraction form
    223.44/308.40 = 136.24/x
  3. Step 3: Cross multiply
    223.44x = 308.40 × 136.24
  4. Step 4: Simplify right side
    223.44x = 42,016.42
  5. Step 5: Solve for x
    x = 42,016.42/223.44
  6. Step 6: Final answer
    x = 188.04

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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.