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Finding the Fourth Proportional to 263.41, 395.06 and 186.15

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Solution

The fourth proportional to 263.41, 395.06 and 186.15 is: 279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.41 : 395.06 = 186.15 : x
  2. Step 2: Convert to fraction form
    263.41/395.06 = 186.15/x
  3. Step 3: Cross multiply
    263.41x = 395.06 × 186.15
  4. Step 4: Simplify right side
    263.41x = 73,540.06
  5. Step 5: Solve for x
    x = 73,540.06/263.41
  6. Step 6: Final answer
    x = 279.19

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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.