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Finding the Fourth Proportional to 212.73, 292.73 and 206.40

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Solution

The fourth proportional to 212.73, 292.73 and 206.40 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.73 : 292.73 = 206.40 : x
  2. Step 2: Convert to fraction form
    212.73/292.73 = 206.40/x
  3. Step 3: Cross multiply
    212.73x = 292.73 × 206.40
  4. Step 4: Simplify right side
    212.73x = 60,419.47
  5. Step 5: Solve for x
    x = 60,419.47/212.73
  6. Step 6: Final answer
    x = 284.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.