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Finding the Fourth Proportional to 278.80, 417.38 and 206.98

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Solution

The fourth proportional to 278.80, 417.38 and 206.98 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.80 : 417.38 = 206.98 : x
  2. Step 2: Convert to fraction form
    278.80/417.38 = 206.98/x
  3. Step 3: Cross multiply
    278.80x = 417.38 × 206.98
  4. Step 4: Simplify right side
    278.80x = 86,389.31
  5. Step 5: Solve for x
    x = 86,389.31/278.80
  6. Step 6: Final answer
    x = 309.86

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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.