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Finding the Fourth Proportional to 240.26, 360.50 and 200.16

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Solution

The fourth proportional to 240.26, 360.50 and 200.16 is: 300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.26 : 360.50 = 200.16 : x
  2. Step 2: Convert to fraction form
    240.26/360.50 = 200.16/x
  3. Step 3: Cross multiply
    240.26x = 360.50 × 200.16
  4. Step 4: Simplify right side
    240.26x = 72,156.68
  5. Step 5: Solve for x
    x = 72,156.68/240.26
  6. Step 6: Final answer
    x = 300.33

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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.