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Finding the Fourth Proportional to 213.41, 319.61 and 140.24

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Solution

The fourth proportional to 213.41, 319.61 and 140.24 is: 210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 319.61 = 140.24 : x
  2. Step 2: Convert to fraction form
    213.41/319.61 = 140.24/x
  3. Step 3: Cross multiply
    213.41x = 319.61 × 140.24
  4. Step 4: Simplify right side
    213.41x = 44,819.81
  5. Step 5: Solve for x
    x = 44,819.81/213.41
  6. Step 6: Final answer
    x = 210.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.