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Finding the Fourth Proportional to 301.43, 452.14 and 164.59

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Solution

The fourth proportional to 301.43, 452.14 and 164.59 is: 246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.43 : 452.14 = 164.59 : x
  2. Step 2: Convert to fraction form
    301.43/452.14 = 164.59/x
  3. Step 3: Cross multiply
    301.43x = 452.14 × 164.59
  4. Step 4: Simplify right side
    301.43x = 74,417.11
  5. Step 5: Solve for x
    x = 74,417.11/301.43
  6. Step 6: Final answer
    x = 246.88

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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.