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Finding the Fourth Proportional to 274.82, 378.20 and 265.91

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Solution

The fourth proportional to 274.82, 378.20 and 265.91 is: 365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.82 : 378.20 = 265.91 : x
  2. Step 2: Convert to fraction form
    274.82/378.20 = 265.91/x
  3. Step 3: Cross multiply
    274.82x = 378.20 × 265.91
  4. Step 4: Simplify right side
    274.82x = 100,565.83
  5. Step 5: Solve for x
    x = 100,565.83/274.82
  6. Step 6: Final answer
    x = 365.93

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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.