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Finding the Fourth Proportional to 278.26, 418.93 and 245.94

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Solution

The fourth proportional to 278.26, 418.93 and 245.94 is: 370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.26 : 418.93 = 245.94 : x
  2. Step 2: Convert to fraction form
    278.26/418.93 = 245.94/x
  3. Step 3: Cross multiply
    278.26x = 418.93 × 245.94
  4. Step 4: Simplify right side
    278.26x = 103,031.64
  5. Step 5: Solve for x
    x = 103,031.64/278.26
  6. Step 6: Final answer
    x = 370.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.