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Finding the Fourth Proportional to 263.85, 395.77 and 155.51

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Solution

The fourth proportional to 263.85, 395.77 and 155.51 is: 233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.85 : 395.77 = 155.51 : x
  2. Step 2: Convert to fraction form
    263.85/395.77 = 155.51/x
  3. Step 3: Cross multiply
    263.85x = 395.77 × 155.51
  4. Step 4: Simplify right side
    263.85x = 61,546.19
  5. Step 5: Solve for x
    x = 61,546.19/263.85
  6. Step 6: Final answer
    x = 233.26

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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.