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Finding the Fourth Proportional to 209.16, 312.83 and 122.29

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Solution

The fourth proportional to 209.16, 312.83 and 122.29 is: 182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 312.83 = 122.29 : x
  2. Step 2: Convert to fraction form
    209.16/312.83 = 122.29/x
  3. Step 3: Cross multiply
    209.16x = 312.83 × 122.29
  4. Step 4: Simplify right side
    209.16x = 38,256.29
  5. Step 5: Solve for x
    x = 38,256.29/209.16
  6. Step 6: Final answer
    x = 182.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.