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Finding the Fourth Proportional to 200.87, 299.60 and 194.79

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Solution

The fourth proportional to 200.87, 299.60 and 194.79 is: 290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.87 : 299.60 = 194.79 : x
  2. Step 2: Convert to fraction form
    200.87/299.60 = 194.79/x
  3. Step 3: Cross multiply
    200.87x = 299.60 × 194.79
  4. Step 4: Simplify right side
    200.87x = 58,358.11
  5. Step 5: Solve for x
    x = 58,358.11/200.87
  6. Step 6: Final answer
    x = 290.53

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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.