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Finding the Fourth Proportional to 213.20, 294.12 and 144.08

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Solution

The fourth proportional to 213.20, 294.12 and 144.08 is: 198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 294.12 = 144.08 : x
  2. Step 2: Convert to fraction form
    213.20/294.12 = 144.08/x
  3. Step 3: Cross multiply
    213.20x = 294.12 × 144.08
  4. Step 4: Simplify right side
    213.20x = 42,376.81
  5. Step 5: Solve for x
    x = 42,376.81/213.20
  6. Step 6: Final answer
    x = 198.77

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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.