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Finding the Fourth Proportional to 217.09, 325.02 and 135.68

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Solution

The fourth proportional to 217.09, 325.02 and 135.68 is: 203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.09 : 325.02 = 135.68 : x
  2. Step 2: Convert to fraction form
    217.09/325.02 = 135.68/x
  3. Step 3: Cross multiply
    217.09x = 325.02 × 135.68
  4. Step 4: Simplify right side
    217.09x = 44,099.53
  5. Step 5: Solve for x
    x = 44,099.53/217.09
  6. Step 6: Final answer
    x = 203.14

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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.