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Finding the Fourth Proportional to 467.96, 701.66 and 193.73

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Solution

The fourth proportional to 467.96, 701.66 and 193.73 is: 290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.96 : 701.66 = 193.73 : x
  2. Step 2: Convert to fraction form
    467.96/701.66 = 193.73/x
  3. Step 3: Cross multiply
    467.96x = 701.66 × 193.73
  4. Step 4: Simplify right side
    467.96x = 135,928.11
  5. Step 5: Solve for x
    x = 135,928.11/467.96
  6. Step 6: Final answer
    x = 290.47

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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.