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Finding the Fourth Proportional to 154.46, 232.97 and 154.46

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Solution

The fourth proportional to 154.46, 232.97 and 154.46 is: 232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.46 : 232.97 = 154.46 : x
  2. Step 2: Convert to fraction form
    154.46/232.97 = 154.46/x
  3. Step 3: Cross multiply
    154.46x = 232.97 × 154.46
  4. Step 4: Simplify right side
    154.46x = 35,984.36
  5. Step 5: Solve for x
    x = 35,984.36/154.46
  6. Step 6: Final answer
    x = 232.97

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