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Finding the Fourth Proportional to 216.30, 297.60 and 211.44

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Solution

The fourth proportional to 216.30, 297.60 and 211.44 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.30 : 297.60 = 211.44 : x
  2. Step 2: Convert to fraction form
    216.30/297.60 = 211.44/x
  3. Step 3: Cross multiply
    216.30x = 297.60 × 211.44
  4. Step 4: Simplify right side
    216.30x = 62,924.54
  5. Step 5: Solve for x
    x = 62,924.54/216.30
  6. Step 6: Final answer
    x = 290.91

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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.