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Finding the Fourth Proportional to 232.70, 350.62 and 193.01

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Solution

The fourth proportional to 232.70, 350.62 and 193.01 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.70 : 350.62 = 193.01 : x
  2. Step 2: Convert to fraction form
    232.70/350.62 = 193.01/x
  3. Step 3: Cross multiply
    232.70x = 350.62 × 193.01
  4. Step 4: Simplify right side
    232.70x = 67,670.93
  5. Step 5: Solve for x
    x = 67,670.93/232.70
  6. Step 6: Final answer
    x = 290.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.