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Finding the Fourth Proportional to 202.12, 303.20 and 149.84

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Solution

The fourth proportional to 202.12, 303.20 and 149.84 is: 224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 303.20 = 149.84 : x
  2. Step 2: Convert to fraction form
    202.12/303.20 = 149.84/x
  3. Step 3: Cross multiply
    202.12x = 303.20 × 149.84
  4. Step 4: Simplify right side
    202.12x = 45,431.49
  5. Step 5: Solve for x
    x = 45,431.49/202.12
  6. Step 6: Final answer
    x = 224.77

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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.