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Finding the Fourth Proportional to 213.14, 294.07 and 130.23

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Solution

The fourth proportional to 213.14, 294.07 and 130.23 is: 179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 294.07 = 130.23 : x
  2. Step 2: Convert to fraction form
    213.14/294.07 = 130.23/x
  3. Step 3: Cross multiply
    213.14x = 294.07 × 130.23
  4. Step 4: Simplify right side
    213.14x = 38,296.65
  5. Step 5: Solve for x
    x = 38,296.65/213.14
  6. Step 6: Final answer
    x = 179.68

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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.