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Finding the Fourth Proportional to 467.47, 700.92 and 193.75

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Solution

The fourth proportional to 467.47, 700.92 and 193.75 is: 290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.47 : 700.92 = 193.75 : x
  2. Step 2: Convert to fraction form
    467.47/700.92 = 193.75/x
  3. Step 3: Cross multiply
    467.47x = 700.92 × 193.75
  4. Step 4: Simplify right side
    467.47x = 135,799.75
  5. Step 5: Solve for x
    x = 135,799.75/467.47
  6. Step 6: Final answer
    x = 290.50

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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.