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Finding the Fourth Proportional to 230.96, 346.36 and 94

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Solution

The fourth proportional to 230.96, 346.36 and 94 is: 140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.96 : 346.36 = 94 : x
  2. Step 2: Convert to fraction form
    230.96/346.36 = 94/x
  3. Step 3: Cross multiply
    230.96x = 346.36 × 94
  4. Step 4: Simplify right side
    230.96x = 32,557.84
  5. Step 5: Solve for x
    x = 32,557.84/230.96
  6. Step 6: Final answer
    x = 140.97

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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.