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Finding the Fourth Proportional to 217.82, 326.61 and 152.84

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Solution

The fourth proportional to 217.82, 326.61 and 152.84 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.82 : 326.61 = 152.84 : x
  2. Step 2: Convert to fraction form
    217.82/326.61 = 152.84/x
  3. Step 3: Cross multiply
    217.82x = 326.61 × 152.84
  4. Step 4: Simplify right side
    217.82x = 49,917.44
  5. Step 5: Solve for x
    x = 49,917.44/217.82
  6. Step 6: Final answer
    x = 229.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.