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Finding the Fourth Proportional to 200.07, 299.70 and 165.78

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Solution

The fourth proportional to 200.07, 299.70 and 165.78 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.07 : 299.70 = 165.78 : x
  2. Step 2: Convert to fraction form
    200.07/299.70 = 165.78/x
  3. Step 3: Cross multiply
    200.07x = 299.70 × 165.78
  4. Step 4: Simplify right side
    200.07x = 49,684.27
  5. Step 5: Solve for x
    x = 49,684.27/200.07
  6. Step 6: Final answer
    x = 248.33

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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.