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Finding the Fourth Proportional to 307.68, 424.41 and 197.11

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Solution

The fourth proportional to 307.68, 424.41 and 197.11 is: 271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 424.41 = 197.11 : x
  2. Step 2: Convert to fraction form
    307.68/424.41 = 197.11/x
  3. Step 3: Cross multiply
    307.68x = 424.41 × 197.11
  4. Step 4: Simplify right side
    307.68x = 83,655.25
  5. Step 5: Solve for x
    x = 83,655.25/307.68
  6. Step 6: Final answer
    x = 271.89

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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.