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Finding the Fourth Proportional to 251.97, 377.40 and 208.14

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Solution

The fourth proportional to 251.97, 377.40 and 208.14 is: 311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.97 : 377.40 = 208.14 : x
  2. Step 2: Convert to fraction form
    251.97/377.40 = 208.14/x
  3. Step 3: Cross multiply
    251.97x = 377.40 × 208.14
  4. Step 4: Simplify right side
    251.97x = 78,552.04
  5. Step 5: Solve for x
    x = 78,552.04/251.97
  6. Step 6: Final answer
    x = 311.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.