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Finding the Fourth Proportional to 232.82, 350.80 and 193.14

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Solution

The fourth proportional to 232.82, 350.80 and 193.14 is: 291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.82 : 350.80 = 193.14 : x
  2. Step 2: Convert to fraction form
    232.82/350.80 = 193.14/x
  3. Step 3: Cross multiply
    232.82x = 350.80 × 193.14
  4. Step 4: Simplify right side
    232.82x = 67,753.51
  5. Step 5: Solve for x
    x = 67,753.51/232.82
  6. Step 6: Final answer
    x = 291.01

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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.