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Finding the Fourth Proportional to 223.92, 308.88 and 180.24

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Solution

The fourth proportional to 223.92, 308.88 and 180.24 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 308.88 = 180.24 : x
  2. Step 2: Convert to fraction form
    223.92/308.88 = 180.24/x
  3. Step 3: Cross multiply
    223.92x = 308.88 × 180.24
  4. Step 4: Simplify right side
    223.92x = 55,672.53
  5. Step 5: Solve for x
    x = 55,672.53/223.92
  6. Step 6: Final answer
    x = 248.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.