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Finding the Fourth Proportional to 735.10, 1,102.67 and 187.29

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Solution

The fourth proportional to 735.10, 1,102.67 and 187.29 is: 280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,102.67 = 187.29 : x
  2. Step 2: Convert to fraction form
    735.10/1,102.67 = 187.29/x
  3. Step 3: Cross multiply
    735.10x = 1,102.67 × 187.29
  4. Step 4: Simplify right side
    735.10x = 206,519.06
  5. Step 5: Solve for x
    x = 206,519.06/735.10
  6. Step 6: Final answer
    x = 280.94

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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.