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Finding the Fourth Proportional to 212, 294.56 and 209.88

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Solution

The fourth proportional to 212, 294.56 and 209.88 is: 291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212 : 294.56 = 209.88 : x
  2. Step 2: Convert to fraction form
    212/294.56 = 209.88/x
  3. Step 3: Cross multiply
    212x = 294.56 × 209.88
  4. Step 4: Simplify right side
    212x = 61,822.25
  5. Step 5: Solve for x
    x = 61,822.25/212
  6. Step 6: Final answer
    x = 291.61

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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.