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Finding the Fourth Proportional to 307.43, 424.26 and 196.89

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Solution

The fourth proportional to 307.43, 424.26 and 196.89 is: 271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.43 : 424.26 = 196.89 : x
  2. Step 2: Convert to fraction form
    307.43/424.26 = 196.89/x
  3. Step 3: Cross multiply
    307.43x = 424.26 × 196.89
  4. Step 4: Simplify right side
    307.43x = 83,532.55
  5. Step 5: Solve for x
    x = 83,532.55/307.43
  6. Step 6: Final answer
    x = 271.72

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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.