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Finding the Fourth Proportional to 213.16, 319.42 and 140.76

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Solution

The fourth proportional to 213.16, 319.42 and 140.76 is: 210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.16 : 319.42 = 140.76 : x
  2. Step 2: Convert to fraction form
    213.16/319.42 = 140.76/x
  3. Step 3: Cross multiply
    213.16x = 319.42 × 140.76
  4. Step 4: Simplify right side
    213.16x = 44,961.56
  5. Step 5: Solve for x
    x = 44,961.56/213.16
  6. Step 6: Final answer
    x = 210.93

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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.