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Finding the Fourth Proportional to 211.62, 292.23 and 138

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Solution

The fourth proportional to 211.62, 292.23 and 138 is: 190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.62 : 292.23 = 138 : x
  2. Step 2: Convert to fraction form
    211.62/292.23 = 138/x
  3. Step 3: Cross multiply
    211.62x = 292.23 × 138
  4. Step 4: Simplify right side
    211.62x = 40,327.74
  5. Step 5: Solve for x
    x = 40,327.74/211.62
  6. Step 6: Final answer
    x = 190.57

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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.