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Finding the Fourth Proportional to 737.05, 1,105.73 and 250.14

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Solution

The fourth proportional to 737.05, 1,105.73 and 250.14 is: 375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.05 : 1,105.73 = 250.14 : x
  2. Step 2: Convert to fraction form
    737.05/1,105.73 = 250.14/x
  3. Step 3: Cross multiply
    737.05x = 1,105.73 × 250.14
  4. Step 4: Simplify right side
    737.05x = 276,587.30
  5. Step 5: Solve for x
    x = 276,587.30/737.05
  6. Step 6: Final answer
    x = 375.26

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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.