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Finding the Fourth Proportional to 263.29, 394.95 and 119

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Solution

The fourth proportional to 263.29, 394.95 and 119 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.29 : 394.95 = 119 : x
  2. Step 2: Convert to fraction form
    263.29/394.95 = 119/x
  3. Step 3: Cross multiply
    263.29x = 394.95 × 119
  4. Step 4: Simplify right side
    263.29x = 46,999.05
  5. Step 5: Solve for x
    x = 46,999.05/263.29
  6. Step 6: Final answer
    x = 178.51

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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.