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Finding the Fourth Proportional to 233.47, 350.15 and 68.89

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Solution

The fourth proportional to 233.47, 350.15 and 68.89 is: 103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 350.15 = 68.89 : x
  2. Step 2: Convert to fraction form
    233.47/350.15 = 68.89/x
  3. Step 3: Cross multiply
    233.47x = 350.15 × 68.89
  4. Step 4: Simplify right side
    233.47x = 24,122.19
  5. Step 5: Solve for x
    x = 24,122.19/233.47
  6. Step 6: Final answer
    x = 103.32

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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.