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Finding the Fourth Proportional to 167.64, 232.31 and 164.40

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Solution

The fourth proportional to 167.64, 232.31 and 164.40 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.64 : 232.31 = 164.40 : x
  2. Step 2: Convert to fraction form
    167.64/232.31 = 164.40/x
  3. Step 3: Cross multiply
    167.64x = 232.31 × 164.40
  4. Step 4: Simplify right side
    167.64x = 38,191.76
  5. Step 5: Solve for x
    x = 38,191.76/167.64
  6. Step 6: Final answer
    x = 227.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.