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Finding the Fourth Proportional to 230.64, 318.12 and 165

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Solution

The fourth proportional to 230.64, 318.12 and 165 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 318.12 = 165 : x
  2. Step 2: Convert to fraction form
    230.64/318.12 = 165/x
  3. Step 3: Cross multiply
    230.64x = 318.12 × 165
  4. Step 4: Simplify right side
    230.64x = 52,489.80
  5. Step 5: Solve for x
    x = 52,489.80/230.64
  6. Step 6: Final answer
    x = 227.58

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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.