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Finding the Fourth Proportional to 243.62, 336.32 and 166.40

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Solution

The fourth proportional to 243.62, 336.32 and 166.40 is: 229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.62 : 336.32 = 166.40 : x
  2. Step 2: Convert to fraction form
    243.62/336.32 = 166.40/x
  3. Step 3: Cross multiply
    243.62x = 336.32 × 166.40
  4. Step 4: Simplify right side
    243.62x = 55,961.13
  5. Step 5: Solve for x
    x = 55,961.13/243.62
  6. Step 6: Final answer
    x = 229.71

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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.