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Finding the Fourth Proportional to 453.37, 680.01 and 160.83

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Solution

The fourth proportional to 453.37, 680.01 and 160.83 is: 241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.37 : 680.01 = 160.83 : x
  2. Step 2: Convert to fraction form
    453.37/680.01 = 160.83/x
  3. Step 3: Cross multiply
    453.37x = 680.01 × 160.83
  4. Step 4: Simplify right side
    453.37x = 109,366.01
  5. Step 5: Solve for x
    x = 109,366.01/453.37
  6. Step 6: Final answer
    x = 241.23

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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.