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Finding the Fourth Proportional to 200.90, 299.28 and 196.10

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Solution

The fourth proportional to 200.90, 299.28 and 196.10 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.90 : 299.28 = 196.10 : x
  2. Step 2: Convert to fraction form
    200.90/299.28 = 196.10/x
  3. Step 3: Cross multiply
    200.90x = 299.28 × 196.10
  4. Step 4: Simplify right side
    200.90x = 58,687.83
  5. Step 5: Solve for x
    x = 58,687.83/200.90
  6. Step 6: Final answer
    x = 292.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.