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Finding the Fourth Proportional to 202.20, 302.49 and 165.75

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Solution

The fourth proportional to 202.20, 302.49 and 165.75 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 302.49 = 165.75 : x
  2. Step 2: Convert to fraction form
    202.20/302.49 = 165.75/x
  3. Step 3: Cross multiply
    202.20x = 302.49 × 165.75
  4. Step 4: Simplify right side
    202.20x = 50,137.72
  5. Step 5: Solve for x
    x = 50,137.72/202.20
  6. Step 6: Final answer
    x = 247.96

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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.