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Finding the Fourth Proportional to 632.88, 949.18 and 199.96

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Solution

The fourth proportional to 632.88, 949.18 and 199.96 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.88 : 949.18 = 199.96 : x
  2. Step 2: Convert to fraction form
    632.88/949.18 = 199.96/x
  3. Step 3: Cross multiply
    632.88x = 949.18 × 199.96
  4. Step 4: Simplify right side
    632.88x = 189,798.03
  5. Step 5: Solve for x
    x = 189,798.03/632.88
  6. Step 6: Final answer
    x = 299.90

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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.