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Finding the Fourth Proportional to 223.84, 308.82 and 180.28

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Solution

The fourth proportional to 223.84, 308.82 and 180.28 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 308.82 = 180.28 : x
  2. Step 2: Convert to fraction form
    223.84/308.82 = 180.28/x
  3. Step 3: Cross multiply
    223.84x = 308.82 × 180.28
  4. Step 4: Simplify right side
    223.84x = 55,674.07
  5. Step 5: Solve for x
    x = 55,674.07/223.84
  6. Step 6: Final answer
    x = 248.72

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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.