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Finding the Fourth Proportional to 278.06, 416.55 and 255.11

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Solution

The fourth proportional to 278.06, 416.55 and 255.11 is: 382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 416.55 = 255.11 : x
  2. Step 2: Convert to fraction form
    278.06/416.55 = 255.11/x
  3. Step 3: Cross multiply
    278.06x = 416.55 × 255.11
  4. Step 4: Simplify right side
    278.06x = 106,266.07
  5. Step 5: Solve for x
    x = 106,266.07/278.06
  6. Step 6: Final answer
    x = 382.17

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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.