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Finding the Fourth Proportional to 230.17, 345.21 and 108.49

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Solution

The fourth proportional to 230.17, 345.21 and 108.49 is: 162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.17 : 345.21 = 108.49 : x
  2. Step 2: Convert to fraction form
    230.17/345.21 = 108.49/x
  3. Step 3: Cross multiply
    230.17x = 345.21 × 108.49
  4. Step 4: Simplify right side
    230.17x = 37,451.83
  5. Step 5: Solve for x
    x = 37,451.83/230.17
  6. Step 6: Final answer
    x = 162.71

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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.