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Finding the Fourth Proportional to 456.22, 684.56 and 196.15

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Solution

The fourth proportional to 456.22, 684.56 and 196.15 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 684.56 = 196.15 : x
  2. Step 2: Convert to fraction form
    456.22/684.56 = 196.15/x
  3. Step 3: Cross multiply
    456.22x = 684.56 × 196.15
  4. Step 4: Simplify right side
    456.22x = 134,273.75
  5. Step 5: Solve for x
    x = 134,273.75/456.22
  6. Step 6: Final answer
    x = 294.32

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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.