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Finding the Fourth Proportional to 277.99, 416.84 and 162.46

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Solution

The fourth proportional to 277.99, 416.84 and 162.46 is: 243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.99 : 416.84 = 162.46 : x
  2. Step 2: Convert to fraction form
    277.99/416.84 = 162.46/x
  3. Step 3: Cross multiply
    277.99x = 416.84 × 162.46
  4. Step 4: Simplify right side
    277.99x = 67,719.97
  5. Step 5: Solve for x
    x = 67,719.97/277.99
  6. Step 6: Final answer
    x = 243.61

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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.