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Finding the Fourth Proportional to 250.22, 375.34 and 96.22

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Solution

The fourth proportional to 250.22, 375.34 and 96.22 is: 144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.22 : 375.34 = 96.22 : x
  2. Step 2: Convert to fraction form
    250.22/375.34 = 96.22/x
  3. Step 3: Cross multiply
    250.22x = 375.34 × 96.22
  4. Step 4: Simplify right side
    250.22x = 36,115.21
  5. Step 5: Solve for x
    x = 36,115.21/250.22
  6. Step 6: Final answer
    x = 144.33

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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.