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Finding the Fourth Proportional to 277.86, 416.81 and 104.58

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Solution

The fourth proportional to 277.86, 416.81 and 104.58 is: 156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.86 : 416.81 = 104.58 : x
  2. Step 2: Convert to fraction form
    277.86/416.81 = 104.58/x
  3. Step 3: Cross multiply
    277.86x = 416.81 × 104.58
  4. Step 4: Simplify right side
    277.86x = 43,589.99
  5. Step 5: Solve for x
    x = 43,589.99/277.86
  6. Step 6: Final answer
    x = 156.88

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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.