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Finding the Fourth Proportional to 150.06, 223.93 and 136.43

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Solution

The fourth proportional to 150.06, 223.93 and 136.43 is: 203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.06 : 223.93 = 136.43 : x
  2. Step 2: Convert to fraction form
    150.06/223.93 = 136.43/x
  3. Step 3: Cross multiply
    150.06x = 223.93 × 136.43
  4. Step 4: Simplify right side
    150.06x = 30,550.77
  5. Step 5: Solve for x
    x = 30,550.77/150.06
  6. Step 6: Final answer
    x = 203.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.