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Finding the Fourth Proportional to 213.71, 295.03 and 144.13

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Solution

The fourth proportional to 213.71, 295.03 and 144.13 is: 198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 295.03 = 144.13 : x
  2. Step 2: Convert to fraction form
    213.71/295.03 = 144.13/x
  3. Step 3: Cross multiply
    213.71x = 295.03 × 144.13
  4. Step 4: Simplify right side
    213.71x = 42,523.71
  5. Step 5: Solve for x
    x = 42,523.71/213.71
  6. Step 6: Final answer
    x = 198.98

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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.