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Finding the Fourth Proportional to 217.63, 300.33 and 130.30

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Solution

The fourth proportional to 217.63, 300.33 and 130.30 is: 179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.63 : 300.33 = 130.30 : x
  2. Step 2: Convert to fraction form
    217.63/300.33 = 130.30/x
  3. Step 3: Cross multiply
    217.63x = 300.33 × 130.30
  4. Step 4: Simplify right side
    217.63x = 39,133.94
  5. Step 5: Solve for x
    x = 39,133.94/217.63
  6. Step 6: Final answer
    x = 179.82

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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.