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Finding the Fourth Proportional to 223.95, 336.17 and 119.94

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Solution

The fourth proportional to 223.95, 336.17 and 119.94 is: 180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.95 : 336.17 = 119.94 : x
  2. Step 2: Convert to fraction form
    223.95/336.17 = 119.94/x
  3. Step 3: Cross multiply
    223.95x = 336.17 × 119.94
  4. Step 4: Simplify right side
    223.95x = 40,320.23
  5. Step 5: Solve for x
    x = 40,320.23/223.95
  6. Step 6: Final answer
    x = 180.04

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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.