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Finding the Fourth Proportional to 280.50, 418.64 and 249.75

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Solution

The fourth proportional to 280.50, 418.64 and 249.75 is: 372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.50 : 418.64 = 249.75 : x
  2. Step 2: Convert to fraction form
    280.50/418.64 = 249.75/x
  3. Step 3: Cross multiply
    280.50x = 418.64 × 249.75
  4. Step 4: Simplify right side
    280.50x = 104,554.09
  5. Step 5: Solve for x
    x = 104,554.09/280.50
  6. Step 6: Final answer
    x = 372.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.