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Finding the Fourth Proportional to 742.29, 1,113.63 and 222.31

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Solution

The fourth proportional to 742.29, 1,113.63 and 222.31 is: 333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.29 : 1,113.63 = 222.31 : x
  2. Step 2: Convert to fraction form
    742.29/1,113.63 = 222.31/x
  3. Step 3: Cross multiply
    742.29x = 1,113.63 × 222.31
  4. Step 4: Simplify right side
    742.29x = 247,571.09
  5. Step 5: Solve for x
    x = 247,571.09/742.29
  6. Step 6: Final answer
    x = 333.53

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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.