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Finding the Fourth Proportional to 263.66, 363.89 and 180.93

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Solution

The fourth proportional to 263.66, 363.89 and 180.93 is: 249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 363.89 = 180.93 : x
  2. Step 2: Convert to fraction form
    263.66/363.89 = 180.93/x
  3. Step 3: Cross multiply
    263.66x = 363.89 × 180.93
  4. Step 4: Simplify right side
    263.66x = 65,840.43
  5. Step 5: Solve for x
    x = 65,840.43/263.66
  6. Step 6: Final answer
    x = 249.72

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