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Finding the Fourth Proportional to 277.75, 416.50 and 123.57

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Solution

The fourth proportional to 277.75, 416.50 and 123.57 is: 185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.75 : 416.50 = 123.57 : x
  2. Step 2: Convert to fraction form
    277.75/416.50 = 123.57/x
  3. Step 3: Cross multiply
    277.75x = 416.50 × 123.57
  4. Step 4: Simplify right side
    277.75x = 51,466.91
  5. Step 5: Solve for x
    x = 51,466.91/277.75
  6. Step 6: Final answer
    x = 185.30

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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.