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Finding the Fourth Proportional to 209.04, 288.43 and 119.29

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Solution

The fourth proportional to 209.04, 288.43 and 119.29 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.04 : 288.43 = 119.29 : x
  2. Step 2: Convert to fraction form
    209.04/288.43 = 119.29/x
  3. Step 3: Cross multiply
    209.04x = 288.43 × 119.29
  4. Step 4: Simplify right side
    209.04x = 34,406.81
  5. Step 5: Solve for x
    x = 34,406.81/209.04
  6. Step 6: Final answer
    x = 164.59

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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.