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Finding the Fourth Proportional to 263.86, 395.61 and 155.59

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Solution

The fourth proportional to 263.86, 395.61 and 155.59 is: 233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 395.61 = 155.59 : x
  2. Step 2: Convert to fraction form
    263.86/395.61 = 155.59/x
  3. Step 3: Cross multiply
    263.86x = 395.61 × 155.59
  4. Step 4: Simplify right side
    263.86x = 61,552.96
  5. Step 5: Solve for x
    x = 61,552.96/263.86
  6. Step 6: Final answer
    x = 233.28

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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.