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Finding the Fourth Proportional to 200.97, 301.50 and 79.34

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Solution

The fourth proportional to 200.97, 301.50 and 79.34 is: 119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 301.50 = 79.34 : x
  2. Step 2: Convert to fraction form
    200.97/301.50 = 79.34/x
  3. Step 3: Cross multiply
    200.97x = 301.50 × 79.34
  4. Step 4: Simplify right side
    200.97x = 23,919.50
  5. Step 5: Solve for x
    x = 23,919.50/200.97
  6. Step 6: Final answer
    x = 119.02

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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.