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Finding the Fourth Proportional to 265.24, 396.96 and 173.80

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Solution

The fourth proportional to 265.24, 396.96 and 173.80 is: 260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.24 : 396.96 = 173.80 : x
  2. Step 2: Convert to fraction form
    265.24/396.96 = 173.80/x
  3. Step 3: Cross multiply
    265.24x = 396.96 × 173.80
  4. Step 4: Simplify right side
    265.24x = 68,991.65
  5. Step 5: Solve for x
    x = 68,991.65/265.24
  6. Step 6: Final answer
    x = 260.11

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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.