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Finding the Fourth Proportional to 245.26, 367.75 and 108.23

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Solution

The fourth proportional to 245.26, 367.75 and 108.23 is: 162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.26 : 367.75 = 108.23 : x
  2. Step 2: Convert to fraction form
    245.26/367.75 = 108.23/x
  3. Step 3: Cross multiply
    245.26x = 367.75 × 108.23
  4. Step 4: Simplify right side
    245.26x = 39,801.04
  5. Step 5: Solve for x
    x = 39,801.04/245.26
  6. Step 6: Final answer
    x = 162.28

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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.