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Finding the Fourth Proportional to 232.93, 321.50 and 162.07

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Solution

The fourth proportional to 232.93, 321.50 and 162.07 is: 223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 321.50 = 162.07 : x
  2. Step 2: Convert to fraction form
    232.93/321.50 = 162.07/x
  3. Step 3: Cross multiply
    232.93x = 321.50 × 162.07
  4. Step 4: Simplify right side
    232.93x = 52,105.11
  5. Step 5: Solve for x
    x = 52,105.11/232.93
  6. Step 6: Final answer
    x = 223.70

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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.