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Finding the Fourth Proportional to 208.20, 312.06 and 172.20

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Solution

The fourth proportional to 208.20, 312.06 and 172.20 is: 258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 312.06 = 172.20 : x
  2. Step 2: Convert to fraction form
    208.20/312.06 = 172.20/x
  3. Step 3: Cross multiply
    208.20x = 312.06 × 172.20
  4. Step 4: Simplify right side
    208.20x = 53,736.73
  5. Step 5: Solve for x
    x = 53,736.73/208.20
  6. Step 6: Final answer
    x = 258.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.