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Finding the Fourth Proportional to 211.89, 292.23 and 149.67

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Solution

The fourth proportional to 211.89, 292.23 and 149.67 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.89 : 292.23 = 149.67 : x
  2. Step 2: Convert to fraction form
    211.89/292.23 = 149.67/x
  3. Step 3: Cross multiply
    211.89x = 292.23 × 149.67
  4. Step 4: Simplify right side
    211.89x = 43,738.06
  5. Step 5: Solve for x
    x = 43,738.06/211.89
  6. Step 6: Final answer
    x = 206.42

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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.