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Finding the Fourth Proportional to 280.31, 420.80 and 182.84

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Solution

The fourth proportional to 280.31, 420.80 and 182.84 is: 274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.31 : 420.80 = 182.84 : x
  2. Step 2: Convert to fraction form
    280.31/420.80 = 182.84/x
  3. Step 3: Cross multiply
    280.31x = 420.80 × 182.84
  4. Step 4: Simplify right side
    280.31x = 76,936.05
  5. Step 5: Solve for x
    x = 76,936.05/280.31
  6. Step 6: Final answer
    x = 274.47

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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.