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Finding the Fourth Proportional to 233.82, 352.31 and 194.14

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Solution

The fourth proportional to 233.82, 352.31 and 194.14 is: 292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 352.31 = 194.14 : x
  2. Step 2: Convert to fraction form
    233.82/352.31 = 194.14/x
  3. Step 3: Cross multiply
    233.82x = 352.31 × 194.14
  4. Step 4: Simplify right side
    233.82x = 68,397.46
  5. Step 5: Solve for x
    x = 68,397.46/233.82
  6. Step 6: Final answer
    x = 292.52

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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.