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Finding the Fourth Proportional to 277.99, 416.79 and 123.84

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Solution

The fourth proportional to 277.99, 416.79 and 123.84 is: 185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.99 : 416.79 = 123.84 : x
  2. Step 2: Convert to fraction form
    277.99/416.79 = 123.84/x
  3. Step 3: Cross multiply
    277.99x = 416.79 × 123.84
  4. Step 4: Simplify right side
    277.99x = 51,613.14
  5. Step 5: Solve for x
    x = 51,613.14/277.99
  6. Step 6: Final answer
    x = 185.67

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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.