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Finding the Fourth Proportional to 200.92, 301.50 and 92.74

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Solution

The fourth proportional to 200.92, 301.50 and 92.74 is: 139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 301.50 = 92.74 : x
  2. Step 2: Convert to fraction form
    200.92/301.50 = 92.74/x
  3. Step 3: Cross multiply
    200.92x = 301.50 × 92.74
  4. Step 4: Simplify right side
    200.92x = 27,961.11
  5. Step 5: Solve for x
    x = 27,961.11/200.92
  6. Step 6: Final answer
    x = 139.17

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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.