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Finding the Fourth Proportional to 230.24, 345.10 and 108.46

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Solution

The fourth proportional to 230.24, 345.10 and 108.46 is: 162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 345.10 = 108.46 : x
  2. Step 2: Convert to fraction form
    230.24/345.10 = 108.46/x
  3. Step 3: Cross multiply
    230.24x = 345.10 × 108.46
  4. Step 4: Simplify right side
    230.24x = 37,429.55
  5. Step 5: Solve for x
    x = 37,429.55/230.24
  6. Step 6: Final answer
    x = 162.57

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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.