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Finding the Fourth Proportional to 217.82, 300.64 and 130.54

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Solution

The fourth proportional to 217.82, 300.64 and 130.54 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.82 : 300.64 = 130.54 : x
  2. Step 2: Convert to fraction form
    217.82/300.64 = 130.54/x
  3. Step 3: Cross multiply
    217.82x = 300.64 × 130.54
  4. Step 4: Simplify right side
    217.82x = 39,245.55
  5. Step 5: Solve for x
    x = 39,245.55/217.82
  6. Step 6: Final answer
    x = 180.17

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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.