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Finding the Fourth Proportional to 382.14, 573.20 and 93.58

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Solution

The fourth proportional to 382.14, 573.20 and 93.58 is: 140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 573.20 = 93.58 : x
  2. Step 2: Convert to fraction form
    382.14/573.20 = 93.58/x
  3. Step 3: Cross multiply
    382.14x = 573.20 × 93.58
  4. Step 4: Simplify right side
    382.14x = 53,640.06
  5. Step 5: Solve for x
    x = 53,640.06/382.14
  6. Step 6: Final answer
    x = 140.37

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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.