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Finding the Fourth Proportional to 200.85, 301.14 and 79.05

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Solution

The fourth proportional to 200.85, 301.14 and 79.05 is: 118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.85 : 301.14 = 79.05 : x
  2. Step 2: Convert to fraction form
    200.85/301.14 = 79.05/x
  3. Step 3: Cross multiply
    200.85x = 301.14 × 79.05
  4. Step 4: Simplify right side
    200.85x = 23,805.12
  5. Step 5: Solve for x
    x = 23,805.12/200.85
  6. Step 6: Final answer
    x = 118.52

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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.