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Finding the Fourth Proportional to 233.90, 350.94 and 71.63

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Solution

The fourth proportional to 233.90, 350.94 and 71.63 is: 107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 350.94 = 71.63 : x
  2. Step 2: Convert to fraction form
    233.90/350.94 = 71.63/x
  3. Step 3: Cross multiply
    233.90x = 350.94 × 71.63
  4. Step 4: Simplify right side
    233.90x = 25,137.83
  5. Step 5: Solve for x
    x = 25,137.83/233.90
  6. Step 6: Final answer
    x = 107.47

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