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Finding the Fourth Proportional to 631.75, 947.62 and 198.91

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Solution

The fourth proportional to 631.75, 947.62 and 198.91 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.75 : 947.62 = 198.91 : x
  2. Step 2: Convert to fraction form
    631.75/947.62 = 198.91/x
  3. Step 3: Cross multiply
    631.75x = 947.62 × 198.91
  4. Step 4: Simplify right side
    631.75x = 188,487.76
  5. Step 5: Solve for x
    x = 188,487.76/631.75
  6. Step 6: Final answer
    x = 298.36

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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.