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Finding the Fourth Proportional to 280.52, 386.90 and 182.31

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Solution

The fourth proportional to 280.52, 386.90 and 182.31 is: 251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 386.90 = 182.31 : x
  2. Step 2: Convert to fraction form
    280.52/386.90 = 182.31/x
  3. Step 3: Cross multiply
    280.52x = 386.90 × 182.31
  4. Step 4: Simplify right side
    280.52x = 70,532.89
  5. Step 5: Solve for x
    x = 70,532.89/280.52
  6. Step 6: Final answer
    x = 251.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.