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Finding the Fourth Proportional to 263.29, 394.62 and 109.02

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Solution

The fourth proportional to 263.29, 394.62 and 109.02 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.29 : 394.62 = 109.02 : x
  2. Step 2: Convert to fraction form
    263.29/394.62 = 109.02/x
  3. Step 3: Cross multiply
    263.29x = 394.62 × 109.02
  4. Step 4: Simplify right side
    263.29x = 43,021.47
  5. Step 5: Solve for x
    x = 43,021.47/263.29
  6. Step 6: Final answer
    x = 163.40

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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.