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Finding the Fourth Proportional to 211.85, 292.11 and 137.06

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Solution

The fourth proportional to 211.85, 292.11 and 137.06 is: 188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.85 : 292.11 = 137.06 : x
  2. Step 2: Convert to fraction form
    211.85/292.11 = 137.06/x
  3. Step 3: Cross multiply
    211.85x = 292.11 × 137.06
  4. Step 4: Simplify right side
    211.85x = 40,035.14
  5. Step 5: Solve for x
    x = 40,035.14/211.85
  6. Step 6: Final answer
    x = 188.98

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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.