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Finding the Fourth Proportional to 217.56, 299.82 and 159.36

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Solution

The fourth proportional to 217.56, 299.82 and 159.36 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.56 : 299.82 = 159.36 : x
  2. Step 2: Convert to fraction form
    217.56/299.82 = 159.36/x
  3. Step 3: Cross multiply
    217.56x = 299.82 × 159.36
  4. Step 4: Simplify right side
    217.56x = 47,779.32
  5. Step 5: Solve for x
    x = 47,779.32/217.56
  6. Step 6: Final answer
    x = 219.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.