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Finding the Fourth Proportional to 230.68, 318.34 and 165.48

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Solution

The fourth proportional to 230.68, 318.34 and 165.48 is: 228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 318.34 = 165.48 : x
  2. Step 2: Convert to fraction form
    230.68/318.34 = 165.48/x
  3. Step 3: Cross multiply
    230.68x = 318.34 × 165.48
  4. Step 4: Simplify right side
    230.68x = 52,678.90
  5. Step 5: Solve for x
    x = 52,678.90/230.68
  6. Step 6: Final answer
    x = 228.36

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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.