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Finding the Fourth Proportional to 631.69, 947.57 and 198.88

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Solution

The fourth proportional to 631.69, 947.57 and 198.88 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.69 : 947.57 = 198.88 : x
  2. Step 2: Convert to fraction form
    631.69/947.57 = 198.88/x
  3. Step 3: Cross multiply
    631.69x = 947.57 × 198.88
  4. Step 4: Simplify right side
    631.69x = 188,449.36
  5. Step 5: Solve for x
    x = 188,449.36/631.69
  6. Step 6: Final answer
    x = 298.33

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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.