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Finding the Fourth Proportional to 263.55, 395.25 and 117.21

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Solution

The fourth proportional to 263.55, 395.25 and 117.21 is: 175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.55 : 395.25 = 117.21 : x
  2. Step 2: Convert to fraction form
    263.55/395.25 = 117.21/x
  3. Step 3: Cross multiply
    263.55x = 395.25 × 117.21
  4. Step 4: Simplify right side
    263.55x = 46,328.30
  5. Step 5: Solve for x
    x = 46,328.30/263.55
  6. Step 6: Final answer
    x = 175.78

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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.