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Finding the Fourth Proportional to 230.69, 318.12 and 165.08

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Solution

The fourth proportional to 230.69, 318.12 and 165.08 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.69 : 318.12 = 165.08 : x
  2. Step 2: Convert to fraction form
    230.69/318.12 = 165.08/x
  3. Step 3: Cross multiply
    230.69x = 318.12 × 165.08
  4. Step 4: Simplify right side
    230.69x = 52,513.66
  5. Step 5: Solve for x
    x = 52,513.66/230.69
  6. Step 6: Final answer
    x = 227.64

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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.