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Finding the Fourth Proportional to 223.81, 308.90 and 168.46

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Solution

The fourth proportional to 223.81, 308.90 and 168.46 is: 232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.81 : 308.90 = 168.46 : x
  2. Step 2: Convert to fraction form
    223.81/308.90 = 168.46/x
  3. Step 3: Cross multiply
    223.81x = 308.90 × 168.46
  4. Step 4: Simplify right side
    223.81x = 52,037.29
  5. Step 5: Solve for x
    x = 52,037.29/223.81
  6. Step 6: Final answer
    x = 232.51

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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.