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Finding the Fourth Proportional to 217.66, 326.08 and 188.47

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Solution

The fourth proportional to 217.66, 326.08 and 188.47 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.66 : 326.08 = 188.47 : x
  2. Step 2: Convert to fraction form
    217.66/326.08 = 188.47/x
  3. Step 3: Cross multiply
    217.66x = 326.08 × 188.47
  4. Step 4: Simplify right side
    217.66x = 61,453.72
  5. Step 5: Solve for x
    x = 61,453.72/217.66
  6. Step 6: Final answer
    x = 282.34

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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.