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Finding the Fourth Proportional to 211.20, 290.02 and 208.24

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Solution

The fourth proportional to 211.20, 290.02 and 208.24 is: 285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.20 : 290.02 = 208.24 : x
  2. Step 2: Convert to fraction form
    211.20/290.02 = 208.24/x
  3. Step 3: Cross multiply
    211.20x = 290.02 × 208.24
  4. Step 4: Simplify right side
    211.20x = 60,393.76
  5. Step 5: Solve for x
    x = 60,393.76/211.20
  6. Step 6: Final answer
    x = 285.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.