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Finding the Fourth Proportional to 250.21, 375.29 and 96.23

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Solution

The fourth proportional to 250.21, 375.29 and 96.23 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.21 : 375.29 = 96.23 : x
  2. Step 2: Convert to fraction form
    250.21/375.29 = 96.23/x
  3. Step 3: Cross multiply
    250.21x = 375.29 × 96.23
  4. Step 4: Simplify right side
    250.21x = 36,113.68
  5. Step 5: Solve for x
    x = 36,113.68/250.21
  6. Step 6: Final answer
    x = 144.34

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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.