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Finding the Fourth Proportional to 200.33, 300.04 and 165.86

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Solution

The fourth proportional to 200.33, 300.04 and 165.86 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.33 : 300.04 = 165.86 : x
  2. Step 2: Convert to fraction form
    200.33/300.04 = 165.86/x
  3. Step 3: Cross multiply
    200.33x = 300.04 × 165.86
  4. Step 4: Simplify right side
    200.33x = 49,763.84
  5. Step 5: Solve for x
    x = 49,763.84/200.33
  6. Step 6: Final answer
    x = 248.41

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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.