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Finding the Fourth Proportional to 277.77, 416.34 and 123.69

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Solution

The fourth proportional to 277.77, 416.34 and 123.69 is: 185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.77 : 416.34 = 123.69 : x
  2. Step 2: Convert to fraction form
    277.77/416.34 = 123.69/x
  3. Step 3: Cross multiply
    277.77x = 416.34 × 123.69
  4. Step 4: Simplify right side
    277.77x = 51,497.09
  5. Step 5: Solve for x
    x = 51,497.09/277.77
  6. Step 6: Final answer
    x = 185.39

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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.