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Finding the Fourth Proportional to 296.75, 445.30 and 159.80

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Solution

The fourth proportional to 296.75, 445.30 and 159.80 is: 239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 445.30 = 159.80 : x
  2. Step 2: Convert to fraction form
    296.75/445.30 = 159.80/x
  3. Step 3: Cross multiply
    296.75x = 445.30 × 159.80
  4. Step 4: Simplify right side
    296.75x = 71,156.31
  5. Step 5: Solve for x
    x = 71,156.31/296.75
  6. Step 6: Final answer
    x = 239.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.