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Finding the Fourth Proportional to 274.16, 410.96 and 137.28

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Solution

The fourth proportional to 274.16, 410.96 and 137.28 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 410.96 = 137.28 : x
  2. Step 2: Convert to fraction form
    274.16/410.96 = 137.28/x
  3. Step 3: Cross multiply
    274.16x = 410.96 × 137.28
  4. Step 4: Simplify right side
    274.16x = 56,416.59
  5. Step 5: Solve for x
    x = 56,416.59/274.16
  6. Step 6: Final answer
    x = 205.78

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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.