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Finding the Fourth Proportional to 230.80, 318.42 and 206.32

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Solution

The fourth proportional to 230.80, 318.42 and 206.32 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 318.42 = 206.32 : x
  2. Step 2: Convert to fraction form
    230.80/318.42 = 206.32/x
  3. Step 3: Cross multiply
    230.80x = 318.42 × 206.32
  4. Step 4: Simplify right side
    230.80x = 65,696.41
  5. Step 5: Solve for x
    x = 65,696.41/230.80
  6. Step 6: Final answer
    x = 284.65

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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.