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Finding the Fourth Proportional to 200.74, 301.02 and 85.12

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Solution

The fourth proportional to 200.74, 301.02 and 85.12 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.74 : 301.02 = 85.12 : x
  2. Step 2: Convert to fraction form
    200.74/301.02 = 85.12/x
  3. Step 3: Cross multiply
    200.74x = 301.02 × 85.12
  4. Step 4: Simplify right side
    200.74x = 25,622.82
  5. Step 5: Solve for x
    x = 25,622.82/200.74
  6. Step 6: Final answer
    x = 127.64

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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.