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Finding the Fourth Proportional to 274.03, 378.14 and 149.68

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Solution

The fourth proportional to 274.03, 378.14 and 149.68 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.03 : 378.14 = 149.68 : x
  2. Step 2: Convert to fraction form
    274.03/378.14 = 149.68/x
  3. Step 3: Cross multiply
    274.03x = 378.14 × 149.68
  4. Step 4: Simplify right side
    274.03x = 56,600.94
  5. Step 5: Solve for x
    x = 56,600.94/274.03
  6. Step 6: Final answer
    x = 206.55

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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.