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Finding the Fourth Proportional to 277.75, 416.13 and 180.03

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Solution

The fourth proportional to 277.75, 416.13 and 180.03 is: 269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.75 : 416.13 = 180.03 : x
  2. Step 2: Convert to fraction form
    277.75/416.13 = 180.03/x
  3. Step 3: Cross multiply
    277.75x = 416.13 × 180.03
  4. Step 4: Simplify right side
    277.75x = 74,915.88
  5. Step 5: Solve for x
    x = 74,915.88/277.75
  6. Step 6: Final answer
    x = 269.72

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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.