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Finding the Fourth Proportional to 212.73, 316.73 and 209.70

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Solution

The fourth proportional to 212.73, 316.73 and 209.70 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.73 : 316.73 = 209.70 : x
  2. Step 2: Convert to fraction form
    212.73/316.73 = 209.70/x
  3. Step 3: Cross multiply
    212.73x = 316.73 × 209.70
  4. Step 4: Simplify right side
    212.73x = 66,417.23
  5. Step 5: Solve for x
    x = 66,417.23/212.73
  6. Step 6: Final answer
    x = 312.21

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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.