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Finding the Fourth Proportional to 200.91, 301.13 and 85.33

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Solution

The fourth proportional to 200.91, 301.13 and 85.33 is: 127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.91 : 301.13 = 85.33 : x
  2. Step 2: Convert to fraction form
    200.91/301.13 = 85.33/x
  3. Step 3: Cross multiply
    200.91x = 301.13 × 85.33
  4. Step 4: Simplify right side
    200.91x = 25,695.42
  5. Step 5: Solve for x
    x = 25,695.42/200.91
  6. Step 6: Final answer
    x = 127.90

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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.