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Finding the Fourth Proportional to 232.95, 321.53 and 159.45

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Solution

The fourth proportional to 232.95, 321.53 and 159.45 is: 220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.95 : 321.53 = 159.45 : x
  2. Step 2: Convert to fraction form
    232.95/321.53 = 159.45/x
  3. Step 3: Cross multiply
    232.95x = 321.53 × 159.45
  4. Step 4: Simplify right side
    232.95x = 51,267.96
  5. Step 5: Solve for x
    x = 51,267.96/232.95
  6. Step 6: Final answer
    x = 220.08

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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.