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Finding the Fourth Proportional to 279.92, 386.61 and 210.27

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Solution

The fourth proportional to 279.92, 386.61 and 210.27 is: 290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.92 : 386.61 = 210.27 : x
  2. Step 2: Convert to fraction form
    279.92/386.61 = 210.27/x
  3. Step 3: Cross multiply
    279.92x = 386.61 × 210.27
  4. Step 4: Simplify right side
    279.92x = 81,292.48
  5. Step 5: Solve for x
    x = 81,292.48/279.92
  6. Step 6: Final answer
    x = 290.42

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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.