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Finding the Fourth Proportional to 202.10, 303.35 and 165.65

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Solution

The fourth proportional to 202.10, 303.35 and 165.65 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.10 : 303.35 = 165.65 : x
  2. Step 2: Convert to fraction form
    202.10/303.35 = 165.65/x
  3. Step 3: Cross multiply
    202.10x = 303.35 × 165.65
  4. Step 4: Simplify right side
    202.10x = 50,247.58
  5. Step 5: Solve for x
    x = 50,247.58/202.10
  6. Step 6: Final answer
    x = 248.63

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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.