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Finding the Fourth Proportional to 277.50, 414.44 and 239.06

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Solution

The fourth proportional to 277.50, 414.44 and 239.06 is: 357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 414.44 = 239.06 : x
  2. Step 2: Convert to fraction form
    277.50/414.44 = 239.06/x
  3. Step 3: Cross multiply
    277.50x = 414.44 × 239.06
  4. Step 4: Simplify right side
    277.50x = 99,076.03
  5. Step 5: Solve for x
    x = 99,076.03/277.50
  6. Step 6: Final answer
    x = 357.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.