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Finding the Fourth Proportional to 277, 414.74 and 185.58

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Solution

The fourth proportional to 277, 414.74 and 185.58 is: 277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277 : 414.74 = 185.58 : x
  2. Step 2: Convert to fraction form
    277/414.74 = 185.58/x
  3. Step 3: Cross multiply
    277x = 414.74 × 185.58
  4. Step 4: Simplify right side
    277x = 76,967.45
  5. Step 5: Solve for x
    x = 76,967.45/277
  6. Step 6: Final answer
    x = 277.86

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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.