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Finding the Fourth Proportional to 301.57, 452.41 and 96.14

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Solution

The fourth proportional to 301.57, 452.41 and 96.14 is: 144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.57 : 452.41 = 96.14 : x
  2. Step 2: Convert to fraction form
    301.57/452.41 = 96.14/x
  3. Step 3: Cross multiply
    301.57x = 452.41 × 96.14
  4. Step 4: Simplify right side
    301.57x = 43,494.70
  5. Step 5: Solve for x
    x = 43,494.70/301.57
  6. Step 6: Final answer
    x = 144.23

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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.