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Finding the Fourth Proportional to 274.51, 411.84 and 206.17

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Solution

The fourth proportional to 274.51, 411.84 and 206.17 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.51 : 411.84 = 206.17 : x
  2. Step 2: Convert to fraction form
    274.51/411.84 = 206.17/x
  3. Step 3: Cross multiply
    274.51x = 411.84 × 206.17
  4. Step 4: Simplify right side
    274.51x = 84,909.05
  5. Step 5: Solve for x
    x = 84,909.05/274.51
  6. Step 6: Final answer
    x = 309.31

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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.