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Finding the Fourth Proportional to 223.68, 308.76 and 177.24

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Solution

The fourth proportional to 223.68, 308.76 and 177.24 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.68 : 308.76 = 177.24 : x
  2. Step 2: Convert to fraction form
    223.68/308.76 = 177.24/x
  3. Step 3: Cross multiply
    223.68x = 308.76 × 177.24
  4. Step 4: Simplify right side
    223.68x = 54,724.62
  5. Step 5: Solve for x
    x = 54,724.62/223.68
  6. Step 6: Final answer
    x = 244.66

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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.