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Finding the Fourth Proportional to 251.36, 377.78 and 208.31

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Solution

The fourth proportional to 251.36, 377.78 and 208.31 is: 313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.36 : 377.78 = 208.31 : x
  2. Step 2: Convert to fraction form
    251.36/377.78 = 208.31/x
  3. Step 3: Cross multiply
    251.36x = 377.78 × 208.31
  4. Step 4: Simplify right side
    251.36x = 78,693.98
  5. Step 5: Solve for x
    x = 78,693.98/251.36
  6. Step 6: Final answer
    x = 313.08

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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.