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Finding the Fourth Proportional to 467.72, 701.09 and 159.28

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Solution

The fourth proportional to 467.72, 701.09 and 159.28 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.72 : 701.09 = 159.28 : x
  2. Step 2: Convert to fraction form
    467.72/701.09 = 159.28/x
  3. Step 3: Cross multiply
    467.72x = 701.09 × 159.28
  4. Step 4: Simplify right side
    467.72x = 111,669.62
  5. Step 5: Solve for x
    x = 111,669.62/467.72
  6. Step 6: Final answer
    x = 238.75

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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.