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Finding the Fourth Proportional to 455.63, 682.94 and 195.68

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Solution

The fourth proportional to 455.63, 682.94 and 195.68 is: 293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 682.94 = 195.68 : x
  2. Step 2: Convert to fraction form
    455.63/682.94 = 195.68/x
  3. Step 3: Cross multiply
    455.63x = 682.94 × 195.68
  4. Step 4: Simplify right side
    455.63x = 133,639.90
  5. Step 5: Solve for x
    x = 133,639.90/455.63
  6. Step 6: Final answer
    x = 293.31

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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.