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Finding the Fourth Proportional to 233.08, 321.58 and 159.43

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Solution

The fourth proportional to 233.08, 321.58 and 159.43 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.08 : 321.58 = 159.43 : x
  2. Step 2: Convert to fraction form
    233.08/321.58 = 159.43/x
  3. Step 3: Cross multiply
    233.08x = 321.58 × 159.43
  4. Step 4: Simplify right side
    233.08x = 51,269.50
  5. Step 5: Solve for x
    x = 51,269.50/233.08
  6. Step 6: Final answer
    x = 219.97

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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.