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Finding the Fourth Proportional to 307.20, 423.81 and 196.65

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Solution

The fourth proportional to 307.20, 423.81 and 196.65 is: 271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.20 : 423.81 = 196.65 : x
  2. Step 2: Convert to fraction form
    307.20/423.81 = 196.65/x
  3. Step 3: Cross multiply
    307.20x = 423.81 × 196.65
  4. Step 4: Simplify right side
    307.20x = 83,342.24
  5. Step 5: Solve for x
    x = 83,342.24/307.20
  6. Step 6: Final answer
    x = 271.30

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