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Finding the Fourth Proportional to 209.23, 312.13 and 180.61

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Solution

The fourth proportional to 209.23, 312.13 and 180.61 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.23 : 312.13 = 180.61 : x
  2. Step 2: Convert to fraction form
    209.23/312.13 = 180.61/x
  3. Step 3: Cross multiply
    209.23x = 312.13 × 180.61
  4. Step 4: Simplify right side
    209.23x = 56,373.80
  5. Step 5: Solve for x
    x = 56,373.80/209.23
  6. Step 6: Final answer
    x = 269.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.