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Finding the Fourth Proportional to 263.45, 394.74 and 186.29

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Solution

The fourth proportional to 263.45, 394.74 and 186.29 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.45 : 394.74 = 186.29 : x
  2. Step 2: Convert to fraction form
    263.45/394.74 = 186.29/x
  3. Step 3: Cross multiply
    263.45x = 394.74 × 186.29
  4. Step 4: Simplify right side
    263.45x = 73,534.14
  5. Step 5: Solve for x
    x = 73,534.14/263.45
  6. Step 6: Final answer
    x = 279.13

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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.