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Finding the Fourth Proportional to 467.90, 701.13 and 193.94

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Solution

The fourth proportional to 467.90, 701.13 and 193.94 is: 290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.90 : 701.13 = 193.94 : x
  2. Step 2: Convert to fraction form
    467.90/701.13 = 193.94/x
  3. Step 3: Cross multiply
    467.90x = 701.13 × 193.94
  4. Step 4: Simplify right side
    467.90x = 135,977.15
  5. Step 5: Solve for x
    x = 135,977.15/467.90
  6. Step 6: Final answer
    x = 290.61

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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.