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Finding the Fourth Proportional to 318.25, 476.45 and 163.81

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Solution

The fourth proportional to 318.25, 476.45 and 163.81 is: 245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.25 : 476.45 = 163.81 : x
  2. Step 2: Convert to fraction form
    318.25/476.45 = 163.81/x
  3. Step 3: Cross multiply
    318.25x = 476.45 × 163.81
  4. Step 4: Simplify right side
    318.25x = 78,044.07
  5. Step 5: Solve for x
    x = 78,044.07/318.25
  6. Step 6: Final answer
    x = 245.23

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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.