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Finding the Fourth Proportional to 280.22, 419.94 and 142.93

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Solution

The fourth proportional to 280.22, 419.94 and 142.93 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.22 : 419.94 = 142.93 : x
  2. Step 2: Convert to fraction form
    280.22/419.94 = 142.93/x
  3. Step 3: Cross multiply
    280.22x = 419.94 × 142.93
  4. Step 4: Simplify right side
    280.22x = 60,022.02
  5. Step 5: Solve for x
    x = 60,022.02/280.22
  6. Step 6: Final answer
    x = 214.20

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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.