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Finding the Fourth Proportional to 263.01, 363.13 and 164.93

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Solution

The fourth proportional to 263.01, 363.13 and 164.93 is: 227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.01 : 363.13 = 164.93 : x
  2. Step 2: Convert to fraction form
    263.01/363.13 = 164.93/x
  3. Step 3: Cross multiply
    263.01x = 363.13 × 164.93
  4. Step 4: Simplify right side
    263.01x = 59,891.03
  5. Step 5: Solve for x
    x = 59,891.03/263.01
  6. Step 6: Final answer
    x = 227.71

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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.