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Finding the Fourth Proportional to 280.49, 387.43 and 198

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Solution

The fourth proportional to 280.49, 387.43 and 198 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.49 : 387.43 = 198 : x
  2. Step 2: Convert to fraction form
    280.49/387.43 = 198/x
  3. Step 3: Cross multiply
    280.49x = 387.43 × 198
  4. Step 4: Simplify right side
    280.49x = 76,710.65
  5. Step 5: Solve for x
    x = 76,710.65/280.49
  6. Step 6: Final answer
    x = 273.49

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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.