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Finding the Fourth Proportional to 230.19, 316.92 and 218.64

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Solution

The fourth proportional to 230.19, 316.92 and 218.64 is: 301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.19 : 316.92 = 218.64 : x
  2. Step 2: Convert to fraction form
    230.19/316.92 = 218.64/x
  3. Step 3: Cross multiply
    230.19x = 316.92 × 218.64
  4. Step 4: Simplify right side
    230.19x = 69,291.39
  5. Step 5: Solve for x
    x = 69,291.39/230.19
  6. Step 6: Final answer
    x = 301.02

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