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Finding the Fourth Proportional to 274.52, 378.65 and 200.87

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Solution

The fourth proportional to 274.52, 378.65 and 200.87 is: 277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 378.65 = 200.87 : x
  2. Step 2: Convert to fraction form
    274.52/378.65 = 200.87/x
  3. Step 3: Cross multiply
    274.52x = 378.65 × 200.87
  4. Step 4: Simplify right side
    274.52x = 76,056.53
  5. Step 5: Solve for x
    x = 76,056.53/274.52
  6. Step 6: Final answer
    x = 277.06

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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.