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Finding the Fourth Proportional to 754.21, 1,131.37 and 206.35

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Solution

The fourth proportional to 754.21, 1,131.37 and 206.35 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.21 : 1,131.37 = 206.35 : x
  2. Step 2: Convert to fraction form
    754.21/1,131.37 = 206.35/x
  3. Step 3: Cross multiply
    754.21x = 1,131.37 × 206.35
  4. Step 4: Simplify right side
    754.21x = 233,454.86
  5. Step 5: Solve for x
    x = 233,454.86/754.21
  6. Step 6: Final answer
    x = 309.54

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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.