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Finding the Fourth Proportional to 211.87, 316.31 and 190.14

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Solution

The fourth proportional to 211.87, 316.31 and 190.14 is: 283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.87 : 316.31 = 190.14 : x
  2. Step 2: Convert to fraction form
    211.87/316.31 = 190.14/x
  3. Step 3: Cross multiply
    211.87x = 316.31 × 190.14
  4. Step 4: Simplify right side
    211.87x = 60,143.18
  5. Step 5: Solve for x
    x = 60,143.18/211.87
  6. Step 6: Final answer
    x = 283.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.