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Finding the Fourth Proportional to 230.60, 316.28 and 218.88

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Solution

The fourth proportional to 230.60, 316.28 and 218.88 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.60 : 316.28 = 218.88 : x
  2. Step 2: Convert to fraction form
    230.60/316.28 = 218.88/x
  3. Step 3: Cross multiply
    230.60x = 316.28 × 218.88
  4. Step 4: Simplify right side
    230.60x = 69,227.37
  5. Step 5: Solve for x
    x = 69,227.37/230.60
  6. Step 6: Final answer
    x = 300.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.