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Finding the Fourth Proportional to 467.84, 701.97 and 194.12

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Solution

The fourth proportional to 467.84, 701.97 and 194.12 is: 291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.84 : 701.97 = 194.12 : x
  2. Step 2: Convert to fraction form
    467.84/701.97 = 194.12/x
  3. Step 3: Cross multiply
    467.84x = 701.97 × 194.12
  4. Step 4: Simplify right side
    467.84x = 136,266.42
  5. Step 5: Solve for x
    x = 136,266.42/467.84
  6. Step 6: Final answer
    x = 291.27

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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.