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Finding the Fourth Proportional to 211.19, 316.25 and 133.92

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Solution

The fourth proportional to 211.19, 316.25 and 133.92 is: 200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.19 : 316.25 = 133.92 : x
  2. Step 2: Convert to fraction form
    211.19/316.25 = 133.92/x
  3. Step 3: Cross multiply
    211.19x = 316.25 × 133.92
  4. Step 4: Simplify right side
    211.19x = 42,350.62
  5. Step 5: Solve for x
    x = 42,350.62/211.19
  6. Step 6: Final answer
    x = 200.54

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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.