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Finding the Fourth Proportional to 631.65, 947.62 and 198.80

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Solution

The fourth proportional to 631.65, 947.62 and 198.80 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.65 : 947.62 = 198.80 : x
  2. Step 2: Convert to fraction form
    631.65/947.62 = 198.80/x
  3. Step 3: Cross multiply
    631.65x = 947.62 × 198.80
  4. Step 4: Simplify right side
    631.65x = 188,386.86
  5. Step 5: Solve for x
    x = 188,386.86/631.65
  6. Step 6: Final answer
    x = 298.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.