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Finding the Fourth Proportional to 217.53, 299.91 and 134.55

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Solution

The fourth proportional to 217.53, 299.91 and 134.55 is: 185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 299.91 = 134.55 : x
  2. Step 2: Convert to fraction form
    217.53/299.91 = 134.55/x
  3. Step 3: Cross multiply
    217.53x = 299.91 × 134.55
  4. Step 4: Simplify right side
    217.53x = 40,352.89
  5. Step 5: Solve for x
    x = 40,352.89/217.53
  6. Step 6: Final answer
    x = 185.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.