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Finding the Fourth Proportional to 209.48, 289.07 and 119.77

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Solution

The fourth proportional to 209.48, 289.07 and 119.77 is: 165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 289.07 = 119.77 : x
  2. Step 2: Convert to fraction form
    209.48/289.07 = 119.77/x
  3. Step 3: Cross multiply
    209.48x = 289.07 × 119.77
  4. Step 4: Simplify right side
    209.48x = 34,621.72
  5. Step 5: Solve for x
    x = 34,621.72/209.48
  6. Step 6: Final answer
    x = 165.28

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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.