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Finding the Fourth Proportional to 274.25, 410.86 and 137.14

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Solution

The fourth proportional to 274.25, 410.86 and 137.14 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.25 : 410.86 = 137.14 : x
  2. Step 2: Convert to fraction form
    274.25/410.86 = 137.14/x
  3. Step 3: Cross multiply
    274.25x = 410.86 × 137.14
  4. Step 4: Simplify right side
    274.25x = 56,343.97
  5. Step 5: Solve for x
    x = 56,343.97/274.25
  6. Step 6: Final answer
    x = 205.45

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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.