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Finding the Fourth Proportional to 277.11, 415.64 and 103.82

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Solution

The fourth proportional to 277.11, 415.64 and 103.82 is: 155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 415.64 = 103.82 : x
  2. Step 2: Convert to fraction form
    277.11/415.64 = 103.82/x
  3. Step 3: Cross multiply
    277.11x = 415.64 × 103.82
  4. Step 4: Simplify right side
    277.11x = 43,149.93
  5. Step 5: Solve for x
    x = 43,149.93/277.11
  6. Step 6: Final answer
    x = 155.71

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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.