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Finding the Fourth Proportional to 212.22, 293.22 and 204.12

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Solution

The fourth proportional to 212.22, 293.22 and 204.12 is: 282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.22 : 293.22 = 204.12 : x
  2. Step 2: Convert to fraction form
    212.22/293.22 = 204.12/x
  3. Step 3: Cross multiply
    212.22x = 293.22 × 204.12
  4. Step 4: Simplify right side
    212.22x = 59,852.07
  5. Step 5: Solve for x
    x = 59,852.07/212.22
  6. Step 6: Final answer
    x = 282.03

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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.