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Finding the Fourth Proportional to 232.01, 320.24 and 190.67

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Solution

The fourth proportional to 232.01, 320.24 and 190.67 is: 263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.01 : 320.24 = 190.67 : x
  2. Step 2: Convert to fraction form
    232.01/320.24 = 190.67/x
  3. Step 3: Cross multiply
    232.01x = 320.24 × 190.67
  4. Step 4: Simplify right side
    232.01x = 61,060.16
  5. Step 5: Solve for x
    x = 61,060.16/232.01
  6. Step 6: Final answer
    x = 263.18

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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.