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Finding the Fourth Proportional to 455.20, 682.72 and 195.24

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Solution

The fourth proportional to 455.20, 682.72 and 195.24 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.20 : 682.72 = 195.24 : x
  2. Step 2: Convert to fraction form
    455.20/682.72 = 195.24/x
  3. Step 3: Cross multiply
    455.20x = 682.72 × 195.24
  4. Step 4: Simplify right side
    455.20x = 133,294.25
  5. Step 5: Solve for x
    x = 133,294.25/455.20
  6. Step 6: Final answer
    x = 292.83

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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.