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Finding the Fourth Proportional to 217.15, 325.73 and 135.88

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Solution

The fourth proportional to 217.15, 325.73 and 135.88 is: 203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.15 : 325.73 = 135.88 : x
  2. Step 2: Convert to fraction form
    217.15/325.73 = 135.88/x
  3. Step 3: Cross multiply
    217.15x = 325.73 × 135.88
  4. Step 4: Simplify right side
    217.15x = 44,260.19
  5. Step 5: Solve for x
    x = 44,260.19/217.15
  6. Step 6: Final answer
    x = 203.82

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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.