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Finding the Fourth Proportional to 213.05, 317.71 and 211.10

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Solution

The fourth proportional to 213.05, 317.71 and 211.10 is: 314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 317.71 = 211.10 : x
  2. Step 2: Convert to fraction form
    213.05/317.71 = 211.10/x
  3. Step 3: Cross multiply
    213.05x = 317.71 × 211.10
  4. Step 4: Simplify right side
    213.05x = 67,067.86
  5. Step 5: Solve for x
    x = 67,067.86/213.05
  6. Step 6: Final answer
    x = 314.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.