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Finding the Fourth Proportional to 735.05, 1,102.49 and 187.20

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Solution

The fourth proportional to 735.05, 1,102.49 and 187.20 is: 280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.05 : 1,102.49 = 187.20 : x
  2. Step 2: Convert to fraction form
    735.05/1,102.49 = 187.20/x
  3. Step 3: Cross multiply
    735.05x = 1,102.49 × 187.20
  4. Step 4: Simplify right side
    735.05x = 206,385.19
  5. Step 5: Solve for x
    x = 206,385.19/735.05
  6. Step 6: Final answer
    x = 280.78

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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.