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Finding the Fourth Proportional to 238.22, 357.33 and 84.15

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Solution

The fourth proportional to 238.22, 357.33 and 84.15 is: 126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 357.33 = 84.15 : x
  2. Step 2: Convert to fraction form
    238.22/357.33 = 84.15/x
  3. Step 3: Cross multiply
    238.22x = 357.33 × 84.15
  4. Step 4: Simplify right side
    238.22x = 30,069.32
  5. Step 5: Solve for x
    x = 30,069.32/238.22
  6. Step 6: Final answer
    x = 126.23

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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.