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Finding the Fourth Proportional to 237.60, 328.12 and 167.83

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Solution

The fourth proportional to 237.60, 328.12 and 167.83 is: 231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 328.12 = 167.83 : x
  2. Step 2: Convert to fraction form
    237.60/328.12 = 167.83/x
  3. Step 3: Cross multiply
    237.60x = 328.12 × 167.83
  4. Step 4: Simplify right side
    237.60x = 55,067.14
  5. Step 5: Solve for x
    x = 55,067.14/237.60
  6. Step 6: Final answer
    x = 231.76

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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.