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Finding the Fourth Proportional to 211.43, 316.49 and 193.49

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Solution

The fourth proportional to 211.43, 316.49 and 193.49 is: 289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.43 : 316.49 = 193.49 : x
  2. Step 2: Convert to fraction form
    211.43/316.49 = 193.49/x
  3. Step 3: Cross multiply
    211.43x = 316.49 × 193.49
  4. Step 4: Simplify right side
    211.43x = 61,237.38
  5. Step 5: Solve for x
    x = 61,237.38/211.43
  6. Step 6: Final answer
    x = 289.63

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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.