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Finding the Fourth Proportional to 154.11, 231.47 and 150.47

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Solution

The fourth proportional to 154.11, 231.47 and 150.47 is: 226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.11 : 231.47 = 150.47 : x
  2. Step 2: Convert to fraction form
    154.11/231.47 = 150.47/x
  3. Step 3: Cross multiply
    154.11x = 231.47 × 150.47
  4. Step 4: Simplify right side
    154.11x = 34,829.29
  5. Step 5: Solve for x
    x = 34,829.29/154.11
  6. Step 6: Final answer
    x = 226.00

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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.