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Finding the Fourth Proportional to 274.49, 411.93 and 206.14

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Solution

The fourth proportional to 274.49, 411.93 and 206.14 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.49 : 411.93 = 206.14 : x
  2. Step 2: Convert to fraction form
    274.49/411.93 = 206.14/x
  3. Step 3: Cross multiply
    274.49x = 411.93 × 206.14
  4. Step 4: Simplify right side
    274.49x = 84,914.22
  5. Step 5: Solve for x
    x = 84,914.22/274.49
  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.