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Finding the Fourth Proportional to 230.87, 318.38 and 165.26

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Solution

The fourth proportional to 230.87, 318.38 and 165.26 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.87 : 318.38 = 165.26 : x
  2. Step 2: Convert to fraction form
    230.87/318.38 = 165.26/x
  3. Step 3: Cross multiply
    230.87x = 318.38 × 165.26
  4. Step 4: Simplify right side
    230.87x = 52,613.06
  5. Step 5: Solve for x
    x = 52,613.06/230.87
  6. Step 6: Final answer
    x = 227.90

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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.