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Finding the Fourth Proportional to 307.28, 424.10 and 197.05

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Solution

The fourth proportional to 307.28, 424.10 and 197.05 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.28 : 424.10 = 197.05 : x
  2. Step 2: Convert to fraction form
    307.28/424.10 = 197.05/x
  3. Step 3: Cross multiply
    307.28x = 424.10 × 197.05
  4. Step 4: Simplify right side
    307.28x = 83,568.91
  5. Step 5: Solve for x
    x = 83,568.91/307.28
  6. Step 6: Final answer
    x = 271.96

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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.