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Finding the Fourth Proportional to 233.90, 350.84 and 96.94

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Solution

The fourth proportional to 233.90, 350.84 and 96.94 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 350.84 = 96.94 : x
  2. Step 2: Convert to fraction form
    233.90/350.84 = 96.94/x
  3. Step 3: Cross multiply
    233.90x = 350.84 × 96.94
  4. Step 4: Simplify right side
    233.90x = 34,010.84
  5. Step 5: Solve for x
    x = 34,010.84/233.90
  6. Step 6: Final answer
    x = 145.41

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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.