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Finding the Fourth Proportional to 230.83, 346.29 and 68.50

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Solution

The fourth proportional to 230.83, 346.29 and 68.50 is: 102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.83 : 346.29 = 68.50 : x
  2. Step 2: Convert to fraction form
    230.83/346.29 = 68.50/x
  3. Step 3: Cross multiply
    230.83x = 346.29 × 68.50
  4. Step 4: Simplify right side
    230.83x = 23,720.87
  5. Step 5: Solve for x
    x = 23,720.87/230.83
  6. Step 6: Final answer
    x = 102.76

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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.