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Finding the Fourth Proportional to 230.80, 318.27 and 211.83

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Solution

The fourth proportional to 230.80, 318.27 and 211.83 is: 292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 318.27 = 211.83 : x
  2. Step 2: Convert to fraction form
    230.80/318.27 = 211.83/x
  3. Step 3: Cross multiply
    230.80x = 318.27 × 211.83
  4. Step 4: Simplify right side
    230.80x = 67,417.54
  5. Step 5: Solve for x
    x = 67,417.54/230.80
  6. Step 6: Final answer
    x = 292.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.