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Finding the Fourth Proportional to 211.67, 292.15 and 137.86

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Solution

The fourth proportional to 211.67, 292.15 and 137.86 is: 190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.67 : 292.15 = 137.86 : x
  2. Step 2: Convert to fraction form
    211.67/292.15 = 137.86/x
  3. Step 3: Cross multiply
    211.67x = 292.15 × 137.86
  4. Step 4: Simplify right side
    211.67x = 40,274.34
  5. Step 5: Solve for x
    x = 40,274.34/211.67
  6. Step 6: Final answer
    x = 190.27

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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.