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Finding the Fourth Proportional to 241.45, 360.26 and 224.25

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Solution

The fourth proportional to 241.45, 360.26 and 224.25 is: 334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.45 : 360.26 = 224.25 : x
  2. Step 2: Convert to fraction form
    241.45/360.26 = 224.25/x
  3. Step 3: Cross multiply
    241.45x = 360.26 × 224.25
  4. Step 4: Simplify right side
    241.45x = 80,788.31
  5. Step 5: Solve for x
    x = 80,788.31/241.45
  6. Step 6: Final answer
    x = 334.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.