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Finding the Fourth Proportional to 202.49, 303.77 and 99.82

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Solution

The fourth proportional to 202.49, 303.77 and 99.82 is: 149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.49 : 303.77 = 99.82 : x
  2. Step 2: Convert to fraction form
    202.49/303.77 = 99.82/x
  3. Step 3: Cross multiply
    202.49x = 303.77 × 99.82
  4. Step 4: Simplify right side
    202.49x = 30,321.81
  5. Step 5: Solve for x
    x = 30,321.81/202.49
  6. Step 6: Final answer
    x = 149.75

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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.