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Finding the Fourth Proportional to 213.09, 293.94 and 130.24

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Solution

The fourth proportional to 213.09, 293.94 and 130.24 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.09 : 293.94 = 130.24 : x
  2. Step 2: Convert to fraction form
    213.09/293.94 = 130.24/x
  3. Step 3: Cross multiply
    213.09x = 293.94 × 130.24
  4. Step 4: Simplify right side
    213.09x = 38,283.11
  5. Step 5: Solve for x
    x = 38,283.11/213.09
  6. Step 6: Final answer
    x = 179.66

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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.