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Finding the Fourth Proportional to 230.94, 318.60 and 165.47

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Solution

The fourth proportional to 230.94, 318.60 and 165.47 is: 228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.94 : 318.60 = 165.47 : x
  2. Step 2: Convert to fraction form
    230.94/318.60 = 165.47/x
  3. Step 3: Cross multiply
    230.94x = 318.60 × 165.47
  4. Step 4: Simplify right side
    230.94x = 52,717.15
  5. Step 5: Solve for x
    x = 52,717.15/230.94
  6. Step 6: Final answer
    x = 228.27

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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.