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Finding the Fourth Proportional to 467.97, 701.88 and 159.81

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Solution

The fourth proportional to 467.97, 701.88 and 159.81 is: 239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.97 : 701.88 = 159.81 : x
  2. Step 2: Convert to fraction form
    467.97/701.88 = 159.81/x
  3. Step 3: Cross multiply
    467.97x = 701.88 × 159.81
  4. Step 4: Simplify right side
    467.97x = 112,167.44
  5. Step 5: Solve for x
    x = 112,167.44/467.97
  6. Step 6: Final answer
    x = 239.69

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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.