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Finding the Fourth Proportional to 277.36, 416.09 and 115.07

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Solution

The fourth proportional to 277.36, 416.09 and 115.07 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.36 : 416.09 = 115.07 : x
  2. Step 2: Convert to fraction form
    277.36/416.09 = 115.07/x
  3. Step 3: Cross multiply
    277.36x = 416.09 × 115.07
  4. Step 4: Simplify right side
    277.36x = 47,877.68
  5. Step 5: Solve for x
    x = 47,877.68/277.36
  6. Step 6: Final answer
    x = 172.62

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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.