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Finding the Fourth Proportional to 734.72, 1,102.11 and 186.91

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Solution

The fourth proportional to 734.72, 1,102.11 and 186.91 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.72 : 1,102.11 = 186.91 : x
  2. Step 2: Convert to fraction form
    734.72/1,102.11 = 186.91/x
  3. Step 3: Cross multiply
    734.72x = 1,102.11 × 186.91
  4. Step 4: Simplify right side
    734.72x = 205,991.92
  5. Step 5: Solve for x
    x = 205,991.92/734.72
  6. Step 6: Final answer
    x = 280.37

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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.