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Finding the Fourth Proportional to 211.62, 292.09 and 138.12

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Solution

The fourth proportional to 211.62, 292.09 and 138.12 is: 190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.62 : 292.09 = 138.12 : x
  2. Step 2: Convert to fraction form
    211.62/292.09 = 138.12/x
  3. Step 3: Cross multiply
    211.62x = 292.09 × 138.12
  4. Step 4: Simplify right side
    211.62x = 40,343.47
  5. Step 5: Solve for x
    x = 40,343.47/211.62
  6. Step 6: Final answer
    x = 190.64

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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.