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Finding the Fourth Proportional to 280.26, 420.33 and 95.15

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Solution

The fourth proportional to 280.26, 420.33 and 95.15 is: 142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 420.33 = 95.15 : x
  2. Step 2: Convert to fraction form
    280.26/420.33 = 95.15/x
  3. Step 3: Cross multiply
    280.26x = 420.33 × 95.15
  4. Step 4: Simplify right side
    280.26x = 39,995.54
  5. Step 5: Solve for x
    x = 39,995.54/280.26
  6. Step 6: Final answer
    x = 142.71

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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.