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Finding the Fourth Proportional to 301.40, 452.10 and 164.42

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Solution

The fourth proportional to 301.40, 452.10 and 164.42 is: 246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.40 : 452.10 = 164.42 : x
  2. Step 2: Convert to fraction form
    301.40/452.10 = 164.42/x
  3. Step 3: Cross multiply
    301.40x = 452.10 × 164.42
  4. Step 4: Simplify right side
    301.40x = 74,334.28
  5. Step 5: Solve for x
    x = 74,334.28/301.40
  6. Step 6: Final answer
    x = 246.63

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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.