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Finding the Fourth Proportional to 263.93, 395.76 and 154.28

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Solution

The fourth proportional to 263.93, 395.76 and 154.28 is: 231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.93 : 395.76 = 154.28 : x
  2. Step 2: Convert to fraction form
    263.93/395.76 = 154.28/x
  3. Step 3: Cross multiply
    263.93x = 395.76 × 154.28
  4. Step 4: Simplify right side
    263.93x = 61,057.85
  5. Step 5: Solve for x
    x = 61,057.85/263.93
  6. Step 6: Final answer
    x = 231.34

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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.