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Finding the Fourth Proportional to 280.97, 386.81 and 210.92

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Solution

The fourth proportional to 280.97, 386.81 and 210.92 is: 290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 386.81 = 210.92 : x
  2. Step 2: Convert to fraction form
    280.97/386.81 = 210.92/x
  3. Step 3: Cross multiply
    280.97x = 386.81 × 210.92
  4. Step 4: Simplify right side
    280.97x = 81,583.17
  5. Step 5: Solve for x
    x = 81,583.17/280.97
  6. Step 6: Final answer
    x = 290.36

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Why These Related Problems?

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