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Finding the Fourth Proportional to 277.77, 416.58 and 186.54

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Solution

The fourth proportional to 277.77, 416.58 and 186.54 is: 279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.77 : 416.58 = 186.54 : x
  2. Step 2: Convert to fraction form
    277.77/416.58 = 186.54/x
  3. Step 3: Cross multiply
    277.77x = 416.58 × 186.54
  4. Step 4: Simplify right side
    277.77x = 77,708.83
  5. Step 5: Solve for x
    x = 77,708.83/277.77
  6. Step 6: Final answer
    x = 279.76

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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.