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Finding the Fourth Proportional to 307.87, 425.05 and 197.51

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Solution

The fourth proportional to 307.87, 425.05 and 197.51 is: 272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.87 : 425.05 = 197.51 : x
  2. Step 2: Convert to fraction form
    307.87/425.05 = 197.51/x
  3. Step 3: Cross multiply
    307.87x = 425.05 × 197.51
  4. Step 4: Simplify right side
    307.87x = 83,949.01
  5. Step 5: Solve for x
    x = 83,949.01/307.87
  6. Step 6: Final answer
    x = 272.68

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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.