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Finding the Fourth Proportional to 211.30, 292.91 and 198.34

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Solution

The fourth proportional to 211.30, 292.91 and 198.34 is: 274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.30 : 292.91 = 198.34 : x
  2. Step 2: Convert to fraction form
    211.30/292.91 = 198.34/x
  3. Step 3: Cross multiply
    211.30x = 292.91 × 198.34
  4. Step 4: Simplify right side
    211.30x = 58,095.77
  5. Step 5: Solve for x
    x = 58,095.77/211.30
  6. Step 6: Final answer
    x = 274.94

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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.