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Finding the Fourth Proportional to 217.16, 299.61 and 133.14

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Solution

The fourth proportional to 217.16, 299.61 and 133.14 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.16 : 299.61 = 133.14 : x
  2. Step 2: Convert to fraction form
    217.16/299.61 = 133.14/x
  3. Step 3: Cross multiply
    217.16x = 299.61 × 133.14
  4. Step 4: Simplify right side
    217.16x = 39,890.08
  5. Step 5: Solve for x
    x = 39,890.08/217.16
  6. Step 6: Final answer
    x = 183.69

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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.