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Finding the Fourth Proportional to 230.69, 346.01 and 82.43

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Solution

The fourth proportional to 230.69, 346.01 and 82.43 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.69 : 346.01 = 82.43 : x
  2. Step 2: Convert to fraction form
    230.69/346.01 = 82.43/x
  3. Step 3: Cross multiply
    230.69x = 346.01 × 82.43
  4. Step 4: Simplify right side
    230.69x = 28,522.06
  5. Step 5: Solve for x
    x = 28,522.06/230.69
  6. Step 6: Final answer
    x = 123.64

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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.