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Finding the Fourth Proportional to 274.64, 411.70 and 137.48

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Solution

The fourth proportional to 274.64, 411.70 and 137.48 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 411.70 = 137.48 : x
  2. Step 2: Convert to fraction form
    274.64/411.70 = 137.48/x
  3. Step 3: Cross multiply
    274.64x = 411.70 × 137.48
  4. Step 4: Simplify right side
    274.64x = 56,600.52
  5. Step 5: Solve for x
    x = 56,600.52/274.64
  6. Step 6: Final answer
    x = 206.09

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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.