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Finding the Fourth Proportional to 154.94, 230.81 and 154.33

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Solution

The fourth proportional to 154.94, 230.81 and 154.33 is: 229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.94 : 230.81 = 154.33 : x
  2. Step 2: Convert to fraction form
    154.94/230.81 = 154.33/x
  3. Step 3: Cross multiply
    154.94x = 230.81 × 154.33
  4. Step 4: Simplify right side
    154.94x = 35,619.56
  5. Step 5: Solve for x
    x = 35,619.56/154.94
  6. Step 6: Final answer
    x = 229.90

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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.