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Finding the Fourth Proportional to 277.09, 415.77 and 103.80

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Solution

The fourth proportional to 277.09, 415.77 and 103.80 is: 155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 415.77 = 103.80 : x
  2. Step 2: Convert to fraction form
    277.09/415.77 = 103.80/x
  3. Step 3: Cross multiply
    277.09x = 415.77 × 103.80
  4. Step 4: Simplify right side
    277.09x = 43,156.93
  5. Step 5: Solve for x
    x = 43,156.93/277.09
  6. Step 6: Final answer
    x = 155.75

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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.