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Finding the Fourth Proportional to 211.11, 316.23 and 142.65

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Solution

The fourth proportional to 211.11, 316.23 and 142.65 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.11 : 316.23 = 142.65 : x
  2. Step 2: Convert to fraction form
    211.11/316.23 = 142.65/x
  3. Step 3: Cross multiply
    211.11x = 316.23 × 142.65
  4. Step 4: Simplify right side
    211.11x = 45,110.21
  5. Step 5: Solve for x
    x = 45,110.21/211.11
  6. Step 6: Final answer
    x = 213.68

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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.