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Finding the Fourth Proportional to 150.80, 226.29 and 123.98

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Solution

The fourth proportional to 150.80, 226.29 and 123.98 is: 186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.80 : 226.29 = 123.98 : x
  2. Step 2: Convert to fraction form
    150.80/226.29 = 123.98/x
  3. Step 3: Cross multiply
    150.80x = 226.29 × 123.98
  4. Step 4: Simplify right side
    150.80x = 28,055.43
  5. Step 5: Solve for x
    x = 28,055.43/150.80
  6. Step 6: Final answer
    x = 186.04

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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.