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Finding the Fourth Proportional to 212.47, 292.36 and 206.12

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Solution

The fourth proportional to 212.47, 292.36 and 206.12 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.47 : 292.36 = 206.12 : x
  2. Step 2: Convert to fraction form
    212.47/292.36 = 206.12/x
  3. Step 3: Cross multiply
    212.47x = 292.36 × 206.12
  4. Step 4: Simplify right side
    212.47x = 60,262.23
  5. Step 5: Solve for x
    x = 60,262.23/212.47
  6. Step 6: Final answer
    x = 283.63

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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.