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Finding the Fourth Proportional to 209.88, 289.34 and 166.20

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Solution

The fourth proportional to 209.88, 289.34 and 166.20 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 289.34 = 166.20 : x
  2. Step 2: Convert to fraction form
    209.88/289.34 = 166.20/x
  3. Step 3: Cross multiply
    209.88x = 289.34 × 166.20
  4. Step 4: Simplify right side
    209.88x = 48,088.31
  5. Step 5: Solve for x
    x = 48,088.31/209.88
  6. Step 6: Final answer
    x = 229.12

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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.