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Finding the Fourth Proportional to 233.26, 351.47 and 193.57

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Solution

The fourth proportional to 233.26, 351.47 and 193.57 is: 291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 351.47 = 193.57 : x
  2. Step 2: Convert to fraction form
    233.26/351.47 = 193.57/x
  3. Step 3: Cross multiply
    233.26x = 351.47 × 193.57
  4. Step 4: Simplify right side
    233.26x = 68,032.56
  5. Step 5: Solve for x
    x = 68,032.56/233.26
  6. Step 6: Final answer
    x = 291.66

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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.