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Finding the Fourth Proportional to 211.74, 316.11 and 210.21

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Solution

The fourth proportional to 211.74, 316.11 and 210.21 is: 313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.74 : 316.11 = 210.21 : x
  2. Step 2: Convert to fraction form
    211.74/316.11 = 210.21/x
  3. Step 3: Cross multiply
    211.74x = 316.11 × 210.21
  4. Step 4: Simplify right side
    211.74x = 66,449.48
  5. Step 5: Solve for x
    x = 66,449.48/211.74
  6. Step 6: Final answer
    x = 313.83

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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.