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Finding the Fourth Proportional to 232.08, 320.07 and 165.56

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Solution

The fourth proportional to 232.08, 320.07 and 165.56 is: 228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 320.07 = 165.56 : x
  2. Step 2: Convert to fraction form
    232.08/320.07 = 165.56/x
  3. Step 3: Cross multiply
    232.08x = 320.07 × 165.56
  4. Step 4: Simplify right side
    232.08x = 52,990.79
  5. Step 5: Solve for x
    x = 52,990.79/232.08
  6. Step 6: Final answer
    x = 228.33

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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.