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Finding the Fourth Proportional to 230.83, 318.40 and 165.22

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Solution

The fourth proportional to 230.83, 318.40 and 165.22 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.83 : 318.40 = 165.22 : x
  2. Step 2: Convert to fraction form
    230.83/318.40 = 165.22/x
  3. Step 3: Cross multiply
    230.83x = 318.40 × 165.22
  4. Step 4: Simplify right side
    230.83x = 52,606.05
  5. Step 5: Solve for x
    x = 52,606.05/230.83
  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.