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Finding the Fourth Proportional to 263.64, 395.45 and 78.54

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Solution

The fourth proportional to 263.64, 395.45 and 78.54 is: 117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 395.45 = 78.54 : x
  2. Step 2: Convert to fraction form
    263.64/395.45 = 78.54/x
  3. Step 3: Cross multiply
    263.64x = 395.45 × 78.54
  4. Step 4: Simplify right side
    263.64x = 31,059.73
  5. Step 5: Solve for x
    x = 31,059.73/263.64
  6. Step 6: Final answer
    x = 117.81

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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.