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Finding the Fourth Proportional to 735.51, 1,103.26 and 187.73

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Solution

The fourth proportional to 735.51, 1,103.26 and 187.73 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.51 : 1,103.26 = 187.73 : x
  2. Step 2: Convert to fraction form
    735.51/1,103.26 = 187.73/x
  3. Step 3: Cross multiply
    735.51x = 1,103.26 × 187.73
  4. Step 4: Simplify right side
    735.51x = 207,115.00
  5. Step 5: Solve for x
    x = 207,115.00/735.51
  6. Step 6: Final answer
    x = 281.59

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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.