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Finding the Fourth Proportional to 211.06, 292.49 and 208.12

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Solution

The fourth proportional to 211.06, 292.49 and 208.12 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 292.49 = 208.12 : x
  2. Step 2: Convert to fraction form
    211.06/292.49 = 208.12/x
  3. Step 3: Cross multiply
    211.06x = 292.49 × 208.12
  4. Step 4: Simplify right side
    211.06x = 60,873.02
  5. Step 5: Solve for x
    x = 60,873.02/211.06
  6. Step 6: Final answer
    x = 288.42

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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.