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Finding the Fourth Proportional to 230.39, 345.74 and 86.11

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Solution

The fourth proportional to 230.39, 345.74 and 86.11 is: 129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.39 : 345.74 = 86.11 : x
  2. Step 2: Convert to fraction form
    230.39/345.74 = 86.11/x
  3. Step 3: Cross multiply
    230.39x = 345.74 × 86.11
  4. Step 4: Simplify right side
    230.39x = 29,771.67
  5. Step 5: Solve for x
    x = 29,771.67/230.39
  6. Step 6: Final answer
    x = 129.22

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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.