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Finding the Fourth Proportional to 233.01, 321.84 and 159.66

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Solution

The fourth proportional to 233.01, 321.84 and 159.66 is: 220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.01 : 321.84 = 159.66 : x
  2. Step 2: Convert to fraction form
    233.01/321.84 = 159.66/x
  3. Step 3: Cross multiply
    233.01x = 321.84 × 159.66
  4. Step 4: Simplify right side
    233.01x = 51,384.97
  5. Step 5: Solve for x
    x = 51,384.97/233.01
  6. Step 6: Final answer
    x = 220.53

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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.