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Finding the Fourth Proportional to 453.62, 680.01 and 164.99

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Solution

The fourth proportional to 453.62, 680.01 and 164.99 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.62 : 680.01 = 164.99 : x
  2. Step 2: Convert to fraction form
    453.62/680.01 = 164.99/x
  3. Step 3: Cross multiply
    453.62x = 680.01 × 164.99
  4. Step 4: Simplify right side
    453.62x = 112,191.45
  5. Step 5: Solve for x
    x = 112,191.45/453.62
  6. Step 6: Final answer
    x = 247.33

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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.