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Finding the Fourth Proportional to 264.52, 396.17 and 183.42

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Solution

The fourth proportional to 264.52, 396.17 and 183.42 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.52 : 396.17 = 183.42 : x
  2. Step 2: Convert to fraction form
    264.52/396.17 = 183.42/x
  3. Step 3: Cross multiply
    264.52x = 396.17 × 183.42
  4. Step 4: Simplify right side
    264.52x = 72,665.96
  5. Step 5: Solve for x
    x = 72,665.96/264.52
  6. Step 6: Final answer
    x = 274.71

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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.