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Finding the Fourth Proportional to 280.21, 418.26 and 241.25

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Solution

The fourth proportional to 280.21, 418.26 and 241.25 is: 360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.21 : 418.26 = 241.25 : x
  2. Step 2: Convert to fraction form
    280.21/418.26 = 241.25/x
  3. Step 3: Cross multiply
    280.21x = 418.26 × 241.25
  4. Step 4: Simplify right side
    280.21x = 100,907.57
  5. Step 5: Solve for x
    x = 100,907.57/280.21
  6. Step 6: Final answer
    x = 360.11

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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.