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Finding the Fourth Proportional to 150.39, 226.73 and 123.66

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Solution

The fourth proportional to 150.39, 226.73 and 123.66 is: 186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.39 : 226.73 = 123.66 : x
  2. Step 2: Convert to fraction form
    150.39/226.73 = 123.66/x
  3. Step 3: Cross multiply
    150.39x = 226.73 × 123.66
  4. Step 4: Simplify right side
    150.39x = 28,037.74
  5. Step 5: Solve for x
    x = 28,037.74/150.39
  6. Step 6: Final answer
    x = 186.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.