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Finding the Fourth Proportional to 211.82, 315.56 and 201.49

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Solution

The fourth proportional to 211.82, 315.56 and 201.49 is: 300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.82 : 315.56 = 201.49 : x
  2. Step 2: Convert to fraction form
    211.82/315.56 = 201.49/x
  3. Step 3: Cross multiply
    211.82x = 315.56 × 201.49
  4. Step 4: Simplify right side
    211.82x = 63,581.90
  5. Step 5: Solve for x
    x = 63,581.90/211.82
  6. Step 6: Final answer
    x = 300.18

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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.