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Finding the Fourth Proportional to 264.82, 396.97 and 242.27

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Solution

The fourth proportional to 264.82, 396.97 and 242.27 is: 363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.82 : 396.97 = 242.27 : x
  2. Step 2: Convert to fraction form
    264.82/396.97 = 242.27/x
  3. Step 3: Cross multiply
    264.82x = 396.97 × 242.27
  4. Step 4: Simplify right side
    264.82x = 96,172.24
  5. Step 5: Solve for x
    x = 96,172.24/264.82
  6. Step 6: Final answer
    x = 363.16

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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.