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Finding the Fourth Proportional to 312.60, 468.74 and 196.84

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Solution

The fourth proportional to 312.60, 468.74 and 196.84 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.60 : 468.74 = 196.84 : x
  2. Step 2: Convert to fraction form
    312.60/468.74 = 196.84/x
  3. Step 3: Cross multiply
    312.60x = 468.74 × 196.84
  4. Step 4: Simplify right side
    312.60x = 92,266.78
  5. Step 5: Solve for x
    x = 92,266.78/312.60
  6. Step 6: Final answer
    x = 295.16

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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.