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Finding the Fourth Proportional to 233.97, 350.93 and 71.65

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Solution

The fourth proportional to 233.97, 350.93 and 71.65 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.97 : 350.93 = 71.65 : x
  2. Step 2: Convert to fraction form
    233.97/350.93 = 71.65/x
  3. Step 3: Cross multiply
    233.97x = 350.93 × 71.65
  4. Step 4: Simplify right side
    233.97x = 25,142.02
  5. Step 5: Solve for x
    x = 25,142.02/233.97
  6. Step 6: Final answer
    x = 107.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.