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Finding the Fourth Proportional to 223.84, 308.53 and 161.57

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Solution

The fourth proportional to 223.84, 308.53 and 161.57 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 308.53 = 161.57 : x
  2. Step 2: Convert to fraction form
    223.84/308.53 = 161.57/x
  3. Step 3: Cross multiply
    223.84x = 308.53 × 161.57
  4. Step 4: Simplify right side
    223.84x = 49,849.56
  5. Step 5: Solve for x
    x = 49,849.56/223.84
  6. Step 6: Final answer
    x = 222.70

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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.