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Finding the Fourth Proportional to 278.78, 417.56 and 207.26

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Solution

The fourth proportional to 278.78, 417.56 and 207.26 is: 310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.78 : 417.56 = 207.26 : x
  2. Step 2: Convert to fraction form
    278.78/417.56 = 207.26/x
  3. Step 3: Cross multiply
    278.78x = 417.56 × 207.26
  4. Step 4: Simplify right side
    278.78x = 86,543.49
  5. Step 5: Solve for x
    x = 86,543.49/278.78
  6. Step 6: Final answer
    x = 310.44

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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.