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Finding the Fourth Proportional to 209.34, 315.23 and 155.61

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Solution

The fourth proportional to 209.34, 315.23 and 155.61 is: 234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 315.23 = 155.61 : x
  2. Step 2: Convert to fraction form
    209.34/315.23 = 155.61/x
  3. Step 3: Cross multiply
    209.34x = 315.23 × 155.61
  4. Step 4: Simplify right side
    209.34x = 49,052.16
  5. Step 5: Solve for x
    x = 49,052.16/209.34
  6. Step 6: Final answer
    x = 234.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.