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Finding the Fourth Proportional to 827.22, 1,241.02 and 242.23

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Solution

The fourth proportional to 827.22, 1,241.02 and 242.23 is: 363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.22 : 1,241.02 = 242.23 : x
  2. Step 2: Convert to fraction form
    827.22/1,241.02 = 242.23/x
  3. Step 3: Cross multiply
    827.22x = 1,241.02 × 242.23
  4. Step 4: Simplify right side
    827.22x = 300,612.27
  5. Step 5: Solve for x
    x = 300,612.27/827.22
  6. Step 6: Final answer
    x = 363.40

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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.