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Finding the Fourth Proportional to 232.64, 321.10 and 159.08

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Solution

The fourth proportional to 232.64, 321.10 and 159.08 is: 219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.64 : 321.10 = 159.08 : x
  2. Step 2: Convert to fraction form
    232.64/321.10 = 159.08/x
  3. Step 3: Cross multiply
    232.64x = 321.10 × 159.08
  4. Step 4: Simplify right side
    232.64x = 51,080.59
  5. Step 5: Solve for x
    x = 51,080.59/232.64
  6. Step 6: Final answer
    x = 219.57

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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.