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Finding the Fourth Proportional to 217.40, 299.03 and 189.81

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Solution

The fourth proportional to 217.40, 299.03 and 189.81 is: 261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.40 : 299.03 = 189.81 : x
  2. Step 2: Convert to fraction form
    217.40/299.03 = 189.81/x
  3. Step 3: Cross multiply
    217.40x = 299.03 × 189.81
  4. Step 4: Simplify right side
    217.40x = 56,757.94
  5. Step 5: Solve for x
    x = 56,757.94/217.40
  6. Step 6: Final answer
    x = 261.08

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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.