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Finding the Fourth Proportional to 263.06, 394.71 and 109.10

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Solution

The fourth proportional to 263.06, 394.71 and 109.10 is: 163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 394.71 = 109.10 : x
  2. Step 2: Convert to fraction form
    263.06/394.71 = 109.10/x
  3. Step 3: Cross multiply
    263.06x = 394.71 × 109.10
  4. Step 4: Simplify right side
    263.06x = 43,060.89
  5. Step 5: Solve for x
    x = 43,060.89/263.06
  6. Step 6: Final answer
    x = 163.70

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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.