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Finding the Fourth Proportional to 230.24, 316.76 and 208.17

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Solution

The fourth proportional to 230.24, 316.76 and 208.17 is: 286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 316.76 = 208.17 : x
  2. Step 2: Convert to fraction form
    230.24/316.76 = 208.17/x
  3. Step 3: Cross multiply
    230.24x = 316.76 × 208.17
  4. Step 4: Simplify right side
    230.24x = 65,938.89
  5. Step 5: Solve for x
    x = 65,938.89/230.24
  6. Step 6: Final answer
    x = 286.39

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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.