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Finding the Fourth Proportional to 211.70, 317.43 and 74.73

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Solution

The fourth proportional to 211.70, 317.43 and 74.73 is: 112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.70 : 317.43 = 74.73 : x
  2. Step 2: Convert to fraction form
    211.70/317.43 = 74.73/x
  3. Step 3: Cross multiply
    211.70x = 317.43 × 74.73
  4. Step 4: Simplify right side
    211.70x = 23,721.54
  5. Step 5: Solve for x
    x = 23,721.54/211.70
  6. Step 6: Final answer
    x = 112.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.