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Finding the Fourth Proportional to 225, 309.83 and 197.21

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Solution

The fourth proportional to 225, 309.83 and 197.21 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225 : 309.83 = 197.21 : x
  2. Step 2: Convert to fraction form
    225/309.83 = 197.21/x
  3. Step 3: Cross multiply
    225x = 309.83 × 197.21
  4. Step 4: Simplify right side
    225x = 61,101.36
  5. Step 5: Solve for x
    x = 61,101.36/225
  6. Step 6: Final answer
    x = 271.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.