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Finding the Fourth Proportional to 277.09, 414.89 and 146.82

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Solution

The fourth proportional to 277.09, 414.89 and 146.82 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 414.89 = 146.82 : x
  2. Step 2: Convert to fraction form
    277.09/414.89 = 146.82/x
  3. Step 3: Cross multiply
    277.09x = 414.89 × 146.82
  4. Step 4: Simplify right side
    277.09x = 60,914.52
  5. Step 5: Solve for x
    x = 60,914.52/277.09
  6. Step 6: Final answer
    x = 219.84

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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.