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Finding the Fourth Proportional to 230.92, 344.52 and 207.83

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Solution

The fourth proportional to 230.92, 344.52 and 207.83 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.92 : 344.52 = 207.83 : x
  2. Step 2: Convert to fraction form
    230.92/344.52 = 207.83/x
  3. Step 3: Cross multiply
    230.92x = 344.52 × 207.83
  4. Step 4: Simplify right side
    230.92x = 71,602.45
  5. Step 5: Solve for x
    x = 71,602.45/230.92
  6. Step 6: Final answer
    x = 310.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.