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Finding the Fourth Proportional to 213.10, 293.96 and 130.24

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Solution

The fourth proportional to 213.10, 293.96 and 130.24 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 293.96 = 130.24 : x
  2. Step 2: Convert to fraction form
    213.10/293.96 = 130.24/x
  3. Step 3: Cross multiply
    213.10x = 293.96 × 130.24
  4. Step 4: Simplify right side
    213.10x = 38,285.35
  5. Step 5: Solve for x
    x = 38,285.35/213.10
  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.