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Finding the Fourth Proportional to 307.32, 423.97 and 196.76

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Solution

The fourth proportional to 307.32, 423.97 and 196.76 is: 271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.32 : 423.97 = 196.76 : x
  2. Step 2: Convert to fraction form
    307.32/423.97 = 196.76/x
  3. Step 3: Cross multiply
    307.32x = 423.97 × 196.76
  4. Step 4: Simplify right side
    307.32x = 83,420.34
  5. Step 5: Solve for x
    x = 83,420.34/307.32
  6. Step 6: Final answer
    x = 271.44

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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.