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Finding the Fourth Proportional to 232.11, 320.48 and 166.64

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Solution

The fourth proportional to 232.11, 320.48 and 166.64 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.11 : 320.48 = 166.64 : x
  2. Step 2: Convert to fraction form
    232.11/320.48 = 166.64/x
  3. Step 3: Cross multiply
    232.11x = 320.48 × 166.64
  4. Step 4: Simplify right side
    232.11x = 53,402.35
  5. Step 5: Solve for x
    x = 53,402.35/232.11
  6. Step 6: Final answer
    x = 230.07

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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.