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Finding the Fourth Proportional to 631.97, 948.00 and 199.13

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Solution

The fourth proportional to 631.97, 948.00 and 199.13 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.97 : 948.00 = 199.13 : x
  2. Step 2: Convert to fraction form
    631.97/948.00 = 199.13/x
  3. Step 3: Cross multiply
    631.97x = 948.00 × 199.13
  4. Step 4: Simplify right side
    631.97x = 188,771.25
  5. Step 5: Solve for x
    x = 188,771.25/631.97
  6. Step 6: Final answer
    x = 298.70

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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.