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Finding the Fourth Proportional to 230.12, 316.74 and 208.24

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Solution

The fourth proportional to 230.12, 316.74 and 208.24 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.12 : 316.74 = 208.24 : x
  2. Step 2: Convert to fraction form
    230.12/316.74 = 208.24/x
  3. Step 3: Cross multiply
    230.12x = 316.74 × 208.24
  4. Step 4: Simplify right side
    230.12x = 65,957.94
  5. Step 5: Solve for x
    x = 65,957.94/230.12
  6. Step 6: Final answer
    x = 286.62

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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.