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Finding the Fourth Proportional to 301.35, 452.03 and 164.46

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Solution

The fourth proportional to 301.35, 452.03 and 164.46 is: 246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.35 : 452.03 = 164.46 : x
  2. Step 2: Convert to fraction form
    301.35/452.03 = 164.46/x
  3. Step 3: Cross multiply
    301.35x = 452.03 × 164.46
  4. Step 4: Simplify right side
    301.35x = 74,340.85
  5. Step 5: Solve for x
    x = 74,340.85/301.35
  6. Step 6: Final answer
    x = 246.69

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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.