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Finding the Fourth Proportional to 632, 948 and 199.19

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Solution

The fourth proportional to 632, 948 and 199.19 is: 298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    632 : 948 = 199.19 : x
  2. Step 2: Convert to fraction form
    632/948 = 199.19/x
  3. Step 3: Cross multiply
    632x = 948 × 199.19
  4. Step 4: Simplify right side
    632x = 188,832.12
  5. Step 5: Solve for x
    x = 188,832.12/632
  6. Step 6: Final answer
    x = 298.79

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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.