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Finding the Fourth Proportional to 631.35, 947.25 and 198.54

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Solution

The fourth proportional to 631.35, 947.25 and 198.54 is: 297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.35 : 947.25 = 198.54 : x
  2. Step 2: Convert to fraction form
    631.35/947.25 = 198.54/x
  3. Step 3: Cross multiply
    631.35x = 947.25 × 198.54
  4. Step 4: Simplify right side
    631.35x = 188,067.02
  5. Step 5: Solve for x
    x = 188,067.02/631.35
  6. Step 6: Final answer
    x = 297.88

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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.