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Finding the Fourth Proportional to 238.10, 357.23 and 84.05

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Solution

The fourth proportional to 238.10, 357.23 and 84.05 is: 126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.10 : 357.23 = 84.05 : x
  2. Step 2: Convert to fraction form
    238.10/357.23 = 84.05/x
  3. Step 3: Cross multiply
    238.10x = 357.23 × 84.05
  4. Step 4: Simplify right side
    238.10x = 30,025.18
  5. Step 5: Solve for x
    x = 30,025.18/238.10
  6. Step 6: Final answer
    x = 126.10

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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.