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Finding the Fourth Proportional to 754.06, 1,131.14 and 206.23

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Solution

The fourth proportional to 754.06, 1,131.14 and 206.23 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.06 : 1,131.14 = 206.23 : x
  2. Step 2: Convert to fraction form
    754.06/1,131.14 = 206.23/x
  3. Step 3: Cross multiply
    754.06x = 1,131.14 × 206.23
  4. Step 4: Simplify right side
    754.06x = 233,275.00
  5. Step 5: Solve for x
    x = 233,275.00/754.06
  6. Step 6: Final answer
    x = 309.36

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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.