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Finding the Fourth Proportional to 263.16, 363.04 and 180.26

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Solution

The fourth proportional to 263.16, 363.04 and 180.26 is: 248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.16 : 363.04 = 180.26 : x
  2. Step 2: Convert to fraction form
    263.16/363.04 = 180.26/x
  3. Step 3: Cross multiply
    263.16x = 363.04 × 180.26
  4. Step 4: Simplify right side
    263.16x = 65,441.59
  5. Step 5: Solve for x
    x = 65,441.59/263.16
  6. Step 6: Final answer
    x = 248.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.