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Finding the Fourth Proportional to 274.58, 410.64 and 206.15

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Solution

The fourth proportional to 274.58, 410.64 and 206.15 is: 308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.58 : 410.64 = 206.15 : x
  2. Step 2: Convert to fraction form
    274.58/410.64 = 206.15/x
  3. Step 3: Cross multiply
    274.58x = 410.64 × 206.15
  4. Step 4: Simplify right side
    274.58x = 84,653.44
  5. Step 5: Solve for x
    x = 84,653.44/274.58
  6. Step 6: Final answer
    x = 308.30

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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.