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Finding the Fourth Proportional to 311.21, 465.92 and 242.53

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Solution

The fourth proportional to 311.21, 465.92 and 242.53 is: 363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 465.92 = 242.53 : x
  2. Step 2: Convert to fraction form
    311.21/465.92 = 242.53/x
  3. Step 3: Cross multiply
    311.21x = 465.92 × 242.53
  4. Step 4: Simplify right side
    311.21x = 112,997.64
  5. Step 5: Solve for x
    x = 112,997.64/311.21
  6. Step 6: Final answer
    x = 363.09

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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.