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Finding the Fourth Proportional to 232.13, 320.16 and 162.31

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Solution

The fourth proportional to 232.13, 320.16 and 162.31 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 320.16 = 162.31 : x
  2. Step 2: Convert to fraction form
    232.13/320.16 = 162.31/x
  3. Step 3: Cross multiply
    232.13x = 320.16 × 162.31
  4. Step 4: Simplify right side
    232.13x = 51,965.17
  5. Step 5: Solve for x
    x = 51,965.17/232.13
  6. Step 6: Final answer
    x = 223.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.