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Finding the Fourth Proportional to 212.36, 294.29 and 209.42

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Solution

The fourth proportional to 212.36, 294.29 and 209.42 is: 290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.36 : 294.29 = 209.42 : x
  2. Step 2: Convert to fraction form
    212.36/294.29 = 209.42/x
  3. Step 3: Cross multiply
    212.36x = 294.29 × 209.42
  4. Step 4: Simplify right side
    212.36x = 61,627.69
  5. Step 5: Solve for x
    x = 61,627.69/212.36
  6. Step 6: Final answer
    x = 290.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.