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Finding the Fourth Proportional to 278.39, 416.73 and 175.33

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Solution

The fourth proportional to 278.39, 416.73 and 175.33 is: 262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.39 : 416.73 = 175.33 : x
  2. Step 2: Convert to fraction form
    278.39/416.73 = 175.33/x
  3. Step 3: Cross multiply
    278.39x = 416.73 × 175.33
  4. Step 4: Simplify right side
    278.39x = 73,065.27
  5. Step 5: Solve for x
    x = 73,065.27/278.39
  6. Step 6: Final answer
    x = 262.46

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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.