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Finding the Fourth Proportional to 278.12, 417.52 and 255.48

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Solution

The fourth proportional to 278.12, 417.52 and 255.48 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 417.52 = 255.48 : x
  2. Step 2: Convert to fraction form
    278.12/417.52 = 255.48/x
  3. Step 3: Cross multiply
    278.12x = 417.52 × 255.48
  4. Step 4: Simplify right side
    278.12x = 106,668.01
  5. Step 5: Solve for x
    x = 106,668.01/278.12
  6. Step 6: Final answer
    x = 383.53

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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.