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Finding the Fourth Proportional to 211.89, 292.37 and 118.62

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Solution

The fourth proportional to 211.89, 292.37 and 118.62 is: 163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.89 : 292.37 = 118.62 : x
  2. Step 2: Convert to fraction form
    211.89/292.37 = 118.62/x
  3. Step 3: Cross multiply
    211.89x = 292.37 × 118.62
  4. Step 4: Simplify right side
    211.89x = 34,680.93
  5. Step 5: Solve for x
    x = 34,680.93/211.89
  6. Step 6: Final answer
    x = 163.67

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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.