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Finding the Fourth Proportional to 233.76, 350.50 and 79.66

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Solution

The fourth proportional to 233.76, 350.50 and 79.66 is: 119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 350.50 = 79.66 : x
  2. Step 2: Convert to fraction form
    233.76/350.50 = 79.66/x
  3. Step 3: Cross multiply
    233.76x = 350.50 × 79.66
  4. Step 4: Simplify right side
    233.76x = 27,920.83
  5. Step 5: Solve for x
    x = 27,920.83/233.76
  6. Step 6: Final answer
    x = 119.44

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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.