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Finding the Fourth Proportional to 150.18, 225.30 and 136.44

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Solution

The fourth proportional to 150.18, 225.30 and 136.44 is: 204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.18 : 225.30 = 136.44 : x
  2. Step 2: Convert to fraction form
    150.18/225.30 = 136.44/x
  3. Step 3: Cross multiply
    150.18x = 225.30 × 136.44
  4. Step 4: Simplify right side
    150.18x = 30,739.93
  5. Step 5: Solve for x
    x = 30,739.93/150.18
  6. Step 6: Final answer
    x = 204.69

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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.