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Finding the Fourth Proportional to 280.35, 420.42 and 95.21

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Solution

The fourth proportional to 280.35, 420.42 and 95.21 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.35 : 420.42 = 95.21 : x
  2. Step 2: Convert to fraction form
    280.35/420.42 = 95.21/x
  3. Step 3: Cross multiply
    280.35x = 420.42 × 95.21
  4. Step 4: Simplify right side
    280.35x = 40,028.19
  5. Step 5: Solve for x
    x = 40,028.19/280.35
  6. Step 6: Final answer
    x = 142.78

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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.