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Finding the Fourth Proportional to 301.04, 451.26 and 164.02

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Solution

The fourth proportional to 301.04, 451.26 and 164.02 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.04 : 451.26 = 164.02 : x
  2. Step 2: Convert to fraction form
    301.04/451.26 = 164.02/x
  3. Step 3: Cross multiply
    301.04x = 451.26 × 164.02
  4. Step 4: Simplify right side
    301.04x = 74,015.67
  5. Step 5: Solve for x
    x = 74,015.67/301.04
  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.