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Finding the Fourth Proportional to 632.96, 948.84 and 200.02

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Solution

The fourth proportional to 632.96, 948.84 and 200.02 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.96 : 948.84 = 200.02 : x
  2. Step 2: Convert to fraction form
    632.96/948.84 = 200.02/x
  3. Step 3: Cross multiply
    632.96x = 948.84 × 200.02
  4. Step 4: Simplify right side
    632.96x = 189,786.98
  5. Step 5: Solve for x
    x = 189,786.98/632.96
  6. Step 6: Final answer
    x = 299.84

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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.