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Finding the Fourth Proportional to 272.02, 375.22 and 206.41

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Solution

The fourth proportional to 272.02, 375.22 and 206.41 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 375.22 = 206.41 : x
  2. Step 2: Convert to fraction form
    272.02/375.22 = 206.41/x
  3. Step 3: Cross multiply
    272.02x = 375.22 × 206.41
  4. Step 4: Simplify right side
    272.02x = 77,449.16
  5. Step 5: Solve for x
    x = 77,449.16/272.02
  6. Step 6: Final answer
    x = 284.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.