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Finding the Fourth Proportional to 250.26, 375.40 and 96.20

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Solution

The fourth proportional to 250.26, 375.40 and 96.20 is: 144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.26 : 375.40 = 96.20 : x
  2. Step 2: Convert to fraction form
    250.26/375.40 = 96.20/x
  3. Step 3: Cross multiply
    250.26x = 375.40 × 96.20
  4. Step 4: Simplify right side
    250.26x = 36,113.48
  5. Step 5: Solve for x
    x = 36,113.48/250.26
  6. Step 6: Final answer
    x = 144.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.