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Finding the Fourth Proportional to 233.20, 351.37 and 193.51

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Solution

The fourth proportional to 233.20, 351.37 and 193.51 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 351.37 = 193.51 : x
  2. Step 2: Convert to fraction form
    233.20/351.37 = 193.51/x
  3. Step 3: Cross multiply
    233.20x = 351.37 × 193.51
  4. Step 4: Simplify right side
    233.20x = 67,991.85
  5. Step 5: Solve for x
    x = 67,991.85/233.20
  6. Step 6: Final answer
    x = 291.57

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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.