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Finding the Fourth Proportional to 211.11, 316.46 and 74.06

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Solution

The fourth proportional to 211.11, 316.46 and 74.06 is: 111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.11 : 316.46 = 74.06 : x
  2. Step 2: Convert to fraction form
    211.11/316.46 = 74.06/x
  3. Step 3: Cross multiply
    211.11x = 316.46 × 74.06
  4. Step 4: Simplify right side
    211.11x = 23,436.54
  5. Step 5: Solve for x
    x = 23,436.54/211.11
  6. Step 6: Final answer
    x = 111.02

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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.