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Finding the Fourth Proportional to 209.88, 289.08 and 166.32

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Solution

The fourth proportional to 209.88, 289.08 and 166.32 is: 229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 289.08 = 166.32 : x
  2. Step 2: Convert to fraction form
    209.88/289.08 = 166.32/x
  3. Step 3: Cross multiply
    209.88x = 289.08 × 166.32
  4. Step 4: Simplify right side
    209.88x = 48,079.79
  5. Step 5: Solve for x
    x = 48,079.79/209.88
  6. Step 6: Final answer
    x = 229.08

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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.