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Finding the Fourth Proportional to 233.76, 352.22 and 194.07

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Solution

The fourth proportional to 233.76, 352.22 and 194.07 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 352.22 = 194.07 : x
  2. Step 2: Convert to fraction form
    233.76/352.22 = 194.07/x
  3. Step 3: Cross multiply
    233.76x = 352.22 × 194.07
  4. Step 4: Simplify right side
    233.76x = 68,355.34
  5. Step 5: Solve for x
    x = 68,355.34/233.76
  6. Step 6: Final answer
    x = 292.42

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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.