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Finding the Fourth Proportional to 209.22, 289.08 and 165.93

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Solution

The fourth proportional to 209.22, 289.08 and 165.93 is: 229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.22 : 289.08 = 165.93 : x
  2. Step 2: Convert to fraction form
    209.22/289.08 = 165.93/x
  3. Step 3: Cross multiply
    209.22x = 289.08 × 165.93
  4. Step 4: Simplify right side
    209.22x = 47,967.04
  5. Step 5: Solve for x
    x = 47,967.04/209.22
  6. Step 6: Final answer
    x = 229.27

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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.