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Finding the Fourth Proportional to 217.72, 300.50 and 134.84

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Solution

The fourth proportional to 217.72, 300.50 and 134.84 is: 186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.72 : 300.50 = 134.84 : x
  2. Step 2: Convert to fraction form
    217.72/300.50 = 134.84/x
  3. Step 3: Cross multiply
    217.72x = 300.50 × 134.84
  4. Step 4: Simplify right side
    217.72x = 40,519.42
  5. Step 5: Solve for x
    x = 40,519.42/217.72
  6. Step 6: Final answer
    x = 186.11

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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.