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Finding the Fourth Proportional to 278.56, 416.92 and 206.56

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Solution

The fourth proportional to 278.56, 416.92 and 206.56 is: 309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 416.92 = 206.56 : x
  2. Step 2: Convert to fraction form
    278.56/416.92 = 206.56/x
  3. Step 3: Cross multiply
    278.56x = 416.92 × 206.56
  4. Step 4: Simplify right side
    278.56x = 86,119.00
  5. Step 5: Solve for x
    x = 86,119.00/278.56
  6. Step 6: Final answer
    x = 309.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.