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Finding the Fourth Proportional to 151.52, 226.83 and 135.98

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Solution

The fourth proportional to 151.52, 226.83 and 135.98 is: 203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 226.83 = 135.98 : x
  2. Step 2: Convert to fraction form
    151.52/226.83 = 135.98/x
  3. Step 3: Cross multiply
    151.52x = 226.83 × 135.98
  4. Step 4: Simplify right side
    151.52x = 30,843.21
  5. Step 5: Solve for x
    x = 30,843.21/151.52
  6. Step 6: Final answer
    x = 203.57

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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.