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Finding the Fourth Proportional to 263.14, 363.24 and 175.94

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Solution

The fourth proportional to 263.14, 363.24 and 175.94 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.14 : 363.24 = 175.94 : x
  2. Step 2: Convert to fraction form
    263.14/363.24 = 175.94/x
  3. Step 3: Cross multiply
    263.14x = 363.24 × 175.94
  4. Step 4: Simplify right side
    263.14x = 63,908.45
  5. Step 5: Solve for x
    x = 63,908.45/263.14
  6. Step 6: Final answer
    x = 242.87

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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.