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Finding the Fourth Proportional to 211.85, 292.10 and 138.14

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Solution

The fourth proportional to 211.85, 292.10 and 138.14 is: 190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.85 : 292.10 = 138.14 : x
  2. Step 2: Convert to fraction form
    211.85/292.10 = 138.14/x
  3. Step 3: Cross multiply
    211.85x = 292.10 × 138.14
  4. Step 4: Simplify right side
    211.85x = 40,348.54
  5. Step 5: Solve for x
    x = 40,348.54/211.85
  6. Step 6: Final answer
    x = 190.46

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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.