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Finding the Fourth Proportional to 277.67, 416.02 and 180.27

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Solution

The fourth proportional to 277.67, 416.02 and 180.27 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 416.02 = 180.27 : x
  2. Step 2: Convert to fraction form
    277.67/416.02 = 180.27/x
  3. Step 3: Cross multiply
    277.67x = 416.02 × 180.27
  4. Step 4: Simplify right side
    277.67x = 74,993.39
  5. Step 5: Solve for x
    x = 74,993.39/277.67
  6. Step 6: Final answer
    x = 270.08

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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.