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Finding the Fourth Proportional to 280.21, 419.86 and 143.07

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Solution

The fourth proportional to 280.21, 419.86 and 143.07 is: 214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.21 : 419.86 = 143.07 : x
  2. Step 2: Convert to fraction form
    280.21/419.86 = 143.07/x
  3. Step 3: Cross multiply
    280.21x = 419.86 × 143.07
  4. Step 4: Simplify right side
    280.21x = 60,069.37
  5. Step 5: Solve for x
    x = 60,069.37/280.21
  6. Step 6: Final answer
    x = 214.37

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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.