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Finding the Fourth Proportional to 209.34, 313.77 and 155.19

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Solution

The fourth proportional to 209.34, 313.77 and 155.19 is: 232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 313.77 = 155.19 : x
  2. Step 2: Convert to fraction form
    209.34/313.77 = 155.19/x
  3. Step 3: Cross multiply
    209.34x = 313.77 × 155.19
  4. Step 4: Simplify right side
    209.34x = 48,693.97
  5. Step 5: Solve for x
    x = 48,693.97/209.34
  6. Step 6: Final answer
    x = 232.61

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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.