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Finding the Fourth Proportional to 233.63, 352.03 and 193.94

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Solution

The fourth proportional to 233.63, 352.03 and 193.94 is: 292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 352.03 = 193.94 : x
  2. Step 2: Convert to fraction form
    233.63/352.03 = 193.94/x
  3. Step 3: Cross multiply
    233.63x = 352.03 × 193.94
  4. Step 4: Simplify right side
    233.63x = 68,273.82
  5. Step 5: Solve for x
    x = 68,273.82/233.63
  6. Step 6: Final answer
    x = 292.23

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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.