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Finding the Fourth Proportional to 208.60, 312.44 and 204.16

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Solution

The fourth proportional to 208.60, 312.44 and 204.16 is: 305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.60 : 312.44 = 204.16 : x
  2. Step 2: Convert to fraction form
    208.60/312.44 = 204.16/x
  3. Step 3: Cross multiply
    208.60x = 312.44 × 204.16
  4. Step 4: Simplify right side
    208.60x = 63,787.75
  5. Step 5: Solve for x
    x = 63,787.75/208.60
  6. Step 6: Final answer
    x = 305.79

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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.