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Finding the Fourth Proportional to 456.08, 683.92 and 196.08

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Solution

The fourth proportional to 456.08, 683.92 and 196.08 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.08 : 683.92 = 196.08 : x
  2. Step 2: Convert to fraction form
    456.08/683.92 = 196.08/x
  3. Step 3: Cross multiply
    456.08x = 683.92 × 196.08
  4. Step 4: Simplify right side
    456.08x = 134,103.03
  5. Step 5: Solve for x
    x = 134,103.03/456.08
  6. Step 6: Final answer
    x = 294.03

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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.