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Finding the Fourth Proportional to 318.69, 477.97 and 102.22

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Solution

The fourth proportional to 318.69, 477.97 and 102.22 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.69 : 477.97 = 102.22 : x
  2. Step 2: Convert to fraction form
    318.69/477.97 = 102.22/x
  3. Step 3: Cross multiply
    318.69x = 477.97 × 102.22
  4. Step 4: Simplify right side
    318.69x = 48,858.09
  5. Step 5: Solve for x
    x = 48,858.09/318.69
  6. Step 6: Final answer
    x = 153.31

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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.