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Finding the Fourth Proportional to 736.94, 1,105.42 and 189.12

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Solution

The fourth proportional to 736.94, 1,105.42 and 189.12 is: 283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.94 : 1,105.42 = 189.12 : x
  2. Step 2: Convert to fraction form
    736.94/1,105.42 = 189.12/x
  3. Step 3: Cross multiply
    736.94x = 1,105.42 × 189.12
  4. Step 4: Simplify right side
    736.94x = 209,057.03
  5. Step 5: Solve for x
    x = 209,057.03/736.94
  6. Step 6: Final answer
    x = 283.68

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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.