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Finding the Fourth Proportional to 265.26, 396.78 and 183.84

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Solution

The fourth proportional to 265.26, 396.78 and 183.84 is: 274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.26 : 396.78 = 183.84 : x
  2. Step 2: Convert to fraction form
    265.26/396.78 = 183.84/x
  3. Step 3: Cross multiply
    265.26x = 396.78 × 183.84
  4. Step 4: Simplify right side
    265.26x = 72,944.04
  5. Step 5: Solve for x
    x = 72,944.04/265.26
  6. Step 6: Final answer
    x = 274.99

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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.