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Finding the Fourth Proportional to 632.33, 948.65 and 199.49

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Solution

The fourth proportional to 632.33, 948.65 and 199.49 is: 299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.33 : 948.65 = 199.49 : x
  2. Step 2: Convert to fraction form
    632.33/948.65 = 199.49/x
  3. Step 3: Cross multiply
    632.33x = 948.65 × 199.49
  4. Step 4: Simplify right side
    632.33x = 189,240.45
  5. Step 5: Solve for x
    x = 189,240.45/632.33
  6. Step 6: Final answer
    x = 299.27

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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.