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Finding the Fourth Proportional to 467.91, 701.84 and 194.02

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Solution

The fourth proportional to 467.91, 701.84 and 194.02 is: 291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.91 : 701.84 = 194.02 : x
  2. Step 2: Convert to fraction form
    467.91/701.84 = 194.02/x
  3. Step 3: Cross multiply
    467.91x = 701.84 × 194.02
  4. Step 4: Simplify right side
    467.91x = 136,169.73
  5. Step 5: Solve for x
    x = 136,169.73/467.91
  6. Step 6: Final answer
    x = 291.02

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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.