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Finding the Fourth Proportional to 232.86, 320.80 and 159.05

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Solution

The fourth proportional to 232.86, 320.80 and 159.05 is: 219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 320.80 = 159.05 : x
  2. Step 2: Convert to fraction form
    232.86/320.80 = 159.05/x
  3. Step 3: Cross multiply
    232.86x = 320.80 × 159.05
  4. Step 4: Simplify right side
    232.86x = 51,023.24
  5. Step 5: Solve for x
    x = 51,023.24/232.86
  6. Step 6: Final answer
    x = 219.12

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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.