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Finding the Fourth Proportional to 280.12, 419.94 and 223

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Solution

The fourth proportional to 280.12, 419.94 and 223 is: 334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.12 : 419.94 = 223 : x
  2. Step 2: Convert to fraction form
    280.12/419.94 = 223/x
  3. Step 3: Cross multiply
    280.12x = 419.94 × 223
  4. Step 4: Simplify right side
    280.12x = 93,646.62
  5. Step 5: Solve for x
    x = 93,646.62/280.12
  6. Step 6: Final answer
    x = 334.31

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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.