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Finding the Fourth Proportional to 263.71, 395.40 and 109.74

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Solution

The fourth proportional to 263.71, 395.40 and 109.74 is: 164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.71 : 395.40 = 109.74 : x
  2. Step 2: Convert to fraction form
    263.71/395.40 = 109.74/x
  3. Step 3: Cross multiply
    263.71x = 395.40 × 109.74
  4. Step 4: Simplify right side
    263.71x = 43,393.09
  5. Step 5: Solve for x
    x = 43,393.09/263.71
  6. Step 6: Final answer
    x = 164.55

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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.