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Finding the Fourth Proportional to 200.46, 299.24 and 185.42

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Solution

The fourth proportional to 200.46, 299.24 and 185.42 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 299.24 = 185.42 : x
  2. Step 2: Convert to fraction form
    200.46/299.24 = 185.42/x
  3. Step 3: Cross multiply
    200.46x = 299.24 × 185.42
  4. Step 4: Simplify right side
    200.46x = 55,482.66
  5. Step 5: Solve for x
    x = 55,482.66/200.46
  6. Step 6: Final answer
    x = 276.78

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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.