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Finding the Fourth Proportional to 217.45, 299.95 and 134.54

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Solution

The fourth proportional to 217.45, 299.95 and 134.54 is: 185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.45 : 299.95 = 134.54 : x
  2. Step 2: Convert to fraction form
    217.45/299.95 = 134.54/x
  3. Step 3: Cross multiply
    217.45x = 299.95 × 134.54
  4. Step 4: Simplify right side
    217.45x = 40,355.27
  5. Step 5: Solve for x
    x = 40,355.27/217.45
  6. Step 6: Final answer
    x = 185.58

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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.