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Finding the Fourth Proportional to 150.93, 226.37 and 102.26

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Solution

The fourth proportional to 150.93, 226.37 and 102.26 is: 153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 226.37 = 102.26 : x
  2. Step 2: Convert to fraction form
    150.93/226.37 = 102.26/x
  3. Step 3: Cross multiply
    150.93x = 226.37 × 102.26
  4. Step 4: Simplify right side
    150.93x = 23,149.42
  5. Step 5: Solve for x
    x = 23,149.42/150.93
  6. Step 6: Final answer
    x = 153.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.