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Finding the Fourth Proportional to 217.86, 324.87 and 189.18

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Solution

The fourth proportional to 217.86, 324.87 and 189.18 is: 282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 324.87 = 189.18 : x
  2. Step 2: Convert to fraction form
    217.86/324.87 = 189.18/x
  3. Step 3: Cross multiply
    217.86x = 324.87 × 189.18
  4. Step 4: Simplify right side
    217.86x = 61,458.91
  5. Step 5: Solve for x
    x = 61,458.91/217.86
  6. Step 6: Final answer
    x = 282.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.