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Finding the Fourth Proportional to 741.43, 1,112.15 and 221.44

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Solution

The fourth proportional to 741.43, 1,112.15 and 221.44 is: 332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.43 : 1,112.15 = 221.44 : x
  2. Step 2: Convert to fraction form
    741.43/1,112.15 = 221.44/x
  3. Step 3: Cross multiply
    741.43x = 1,112.15 × 221.44
  4. Step 4: Simplify right side
    741.43x = 246,274.50
  5. Step 5: Solve for x
    x = 246,274.50/741.43
  6. Step 6: Final answer
    x = 332.16

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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.