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Finding the Fourth Proportional to 301.02, 451.22 and 164.03

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Solution

The fourth proportional to 301.02, 451.22 and 164.03 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 451.22 = 164.03 : x
  2. Step 2: Convert to fraction form
    301.02/451.22 = 164.03/x
  3. Step 3: Cross multiply
    301.02x = 451.22 × 164.03
  4. Step 4: Simplify right side
    301.02x = 74,011.46
  5. Step 5: Solve for x
    x = 74,011.46/301.02
  6. Step 6: Final answer
    x = 245.87

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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.