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Finding the Fourth Proportional to 274.36, 412.25 and 206.32

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Solution

The fourth proportional to 274.36, 412.25 and 206.32 is: 310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.36 : 412.25 = 206.32 : x
  2. Step 2: Convert to fraction form
    274.36/412.25 = 206.32/x
  3. Step 3: Cross multiply
    274.36x = 412.25 × 206.32
  4. Step 4: Simplify right side
    274.36x = 85,055.42
  5. Step 5: Solve for x
    x = 85,055.42/274.36
  6. Step 6: Final answer
    x = 310.01

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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.