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Finding the Fourth Proportional to 455.27, 682.90 and 130.64

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Solution

The fourth proportional to 455.27, 682.90 and 130.64 is: 195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.27 : 682.90 = 130.64 : x
  2. Step 2: Convert to fraction form
    455.27/682.90 = 130.64/x
  3. Step 3: Cross multiply
    455.27x = 682.90 × 130.64
  4. Step 4: Simplify right side
    455.27x = 89,211.95
  5. Step 5: Solve for x
    x = 89,211.95/455.27
  6. Step 6: Final answer
    x = 195.95

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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.