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Finding the Fourth Proportional to 263.33, 395.00 and 78.24

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Solution

The fourth proportional to 263.33, 395.00 and 78.24 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.33 : 395.00 = 78.24 : x
  2. Step 2: Convert to fraction form
    263.33/395.00 = 78.24/x
  3. Step 3: Cross multiply
    263.33x = 395.00 × 78.24
  4. Step 4: Simplify right side
    263.33x = 30,904.41
  5. Step 5: Solve for x
    x = 30,904.41/263.33
  6. Step 6: Final answer
    x = 117.36

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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.