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Finding the Fourth Proportional to 272.40, 408.61 and 208.21

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Solution

The fourth proportional to 272.40, 408.61 and 208.21 is: 312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.40 : 408.61 = 208.21 : x
  2. Step 2: Convert to fraction form
    272.40/408.61 = 208.21/x
  3. Step 3: Cross multiply
    272.40x = 408.61 × 208.21
  4. Step 4: Simplify right side
    272.40x = 85,077.84
  5. Step 5: Solve for x
    x = 85,077.84/272.40
  6. Step 6: Final answer
    x = 312.32

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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.