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Finding the Fourth Proportional to 456.44, 684.06 and 196.14

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Solution

The fourth proportional to 456.44, 684.06 and 196.14 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.44 : 684.06 = 196.14 : x
  2. Step 2: Convert to fraction form
    456.44/684.06 = 196.14/x
  3. Step 3: Cross multiply
    456.44x = 684.06 × 196.14
  4. Step 4: Simplify right side
    456.44x = 134,171.53
  5. Step 5: Solve for x
    x = 134,171.53/456.44
  6. Step 6: Final answer
    x = 293.95

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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.