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Finding the Fourth Proportional to 274.50, 377.73 and 208.74

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Solution

The fourth proportional to 274.50, 377.73 and 208.74 is: 287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 377.73 = 208.74 : x
  2. Step 2: Convert to fraction form
    274.50/377.73 = 208.74/x
  3. Step 3: Cross multiply
    274.50x = 377.73 × 208.74
  4. Step 4: Simplify right side
    274.50x = 78,847.36
  5. Step 5: Solve for x
    x = 78,847.36/274.50
  6. Step 6: Final answer
    x = 287.24

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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.