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Finding the Fourth Proportional to 150.66, 226.26 and 123.80

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Solution

The fourth proportional to 150.66, 226.26 and 123.80 is: 185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.66 : 226.26 = 123.80 : x
  2. Step 2: Convert to fraction form
    150.66/226.26 = 123.80/x
  3. Step 3: Cross multiply
    150.66x = 226.26 × 123.80
  4. Step 4: Simplify right side
    150.66x = 28,009.86
  5. Step 5: Solve for x
    x = 28,009.86/150.66
  6. Step 6: Final answer
    x = 185.91

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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.