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Finding the Fourth Proportional to 215.84, 323.22 and 154.88

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Solution

The fourth proportional to 215.84, 323.22 and 154.88 is: 231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.84 : 323.22 = 154.88 : x
  2. Step 2: Convert to fraction form
    215.84/323.22 = 154.88/x
  3. Step 3: Cross multiply
    215.84x = 323.22 × 154.88
  4. Step 4: Simplify right side
    215.84x = 50,060.31
  5. Step 5: Solve for x
    x = 50,060.31/215.84
  6. Step 6: Final answer
    x = 231.93

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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.