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Finding the Fourth Proportional to 223.71, 308.61 and 136.23

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Solution

The fourth proportional to 223.71, 308.61 and 136.23 is: 187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.71 : 308.61 = 136.23 : x
  2. Step 2: Convert to fraction form
    223.71/308.61 = 136.23/x
  3. Step 3: Cross multiply
    223.71x = 308.61 × 136.23
  4. Step 4: Simplify right side
    223.71x = 42,041.94
  5. Step 5: Solve for x
    x = 42,041.94/223.71
  6. Step 6: Final answer
    x = 187.93

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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.