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Finding the Fourth Proportional to 202.20, 303.16 and 65.20

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Solution

The fourth proportional to 202.20, 303.16 and 65.20 is: 97.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 303.16 = 65.20 : x
  2. Step 2: Convert to fraction form
    202.20/303.16 = 65.20/x
  3. Step 3: Cross multiply
    202.20x = 303.16 × 65.20
  4. Step 4: Simplify right side
    202.20x = 19,766.03
  5. Step 5: Solve for x
    x = 19,766.03/202.20
  6. Step 6: Final answer
    x = 97.75

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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.