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Finding the Fourth Proportional to 213.24, 293.82 and 144.12

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Solution

The fourth proportional to 213.24, 293.82 and 144.12 is: 198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.24 : 293.82 = 144.12 : x
  2. Step 2: Convert to fraction form
    213.24/293.82 = 144.12/x
  3. Step 3: Cross multiply
    213.24x = 293.82 × 144.12
  4. Step 4: Simplify right side
    213.24x = 42,345.34
  5. Step 5: Solve for x
    x = 42,345.34/213.24
  6. Step 6: Final answer
    x = 198.58

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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.