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Finding the Fourth Proportional to 467.72, 701.66 and 159.68

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Solution

The fourth proportional to 467.72, 701.66 and 159.68 is: 239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.72 : 701.66 = 159.68 : x
  2. Step 2: Convert to fraction form
    467.72/701.66 = 159.68/x
  3. Step 3: Cross multiply
    467.72x = 701.66 × 159.68
  4. Step 4: Simplify right side
    467.72x = 112,041.07
  5. Step 5: Solve for x
    x = 112,041.07/467.72
  6. Step 6: Final answer
    x = 239.55

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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.