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Finding the Fourth Proportional to 274.10, 378.25 and 149.76

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Solution

The fourth proportional to 274.10, 378.25 and 149.76 is: 206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.10 : 378.25 = 149.76 : x
  2. Step 2: Convert to fraction form
    274.10/378.25 = 149.76/x
  3. Step 3: Cross multiply
    274.10x = 378.25 × 149.76
  4. Step 4: Simplify right side
    274.10x = 56,646.35
  5. Step 5: Solve for x
    x = 56,646.35/274.10
  6. Step 6: Final answer
    x = 206.66

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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.