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Finding the Fourth Proportional to 223.54, 308.64 and 136.27

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Solution

The fourth proportional to 223.54, 308.64 and 136.27 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.54 : 308.64 = 136.27 : x
  2. Step 2: Convert to fraction form
    223.54/308.64 = 136.27/x
  3. Step 3: Cross multiply
    223.54x = 308.64 × 136.27
  4. Step 4: Simplify right side
    223.54x = 42,057.53
  5. Step 5: Solve for x
    x = 42,057.53/223.54
  6. Step 6: Final answer
    x = 188.14

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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.