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Finding the Fourth Proportional to 232.69, 320.97 and 159.13

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Solution

The fourth proportional to 232.69, 320.97 and 159.13 is: 219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 320.97 = 159.13 : x
  2. Step 2: Convert to fraction form
    232.69/320.97 = 159.13/x
  3. Step 3: Cross multiply
    232.69x = 320.97 × 159.13
  4. Step 4: Simplify right side
    232.69x = 51,075.96
  5. Step 5: Solve for x
    x = 51,075.96/232.69
  6. Step 6: Final answer
    x = 219.50

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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.