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Finding the Fourth Proportional to 264.53, 363.95 and 241.21

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Solution

The fourth proportional to 264.53, 363.95 and 241.21 is: 331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.53 : 363.95 = 241.21 : x
  2. Step 2: Convert to fraction form
    264.53/363.95 = 241.21/x
  3. Step 3: Cross multiply
    264.53x = 363.95 × 241.21
  4. Step 4: Simplify right side
    264.53x = 87,787.17
  5. Step 5: Solve for x
    x = 87,787.17/264.53
  6. Step 6: Final answer
    x = 331.86

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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.