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Finding the Fourth Proportional to 467.60, 701.72 and 193.70

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Solution

The fourth proportional to 467.60, 701.72 and 193.70 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 701.72 = 193.70 : x
  2. Step 2: Convert to fraction form
    467.60/701.72 = 193.70/x
  3. Step 3: Cross multiply
    467.60x = 701.72 × 193.70
  4. Step 4: Simplify right side
    467.60x = 135,923.16
  5. Step 5: Solve for x
    x = 135,923.16/467.60
  6. Step 6: Final answer
    x = 290.68

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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.