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Finding the Fourth Proportional to 277.92, 416.70 and 180.48

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Solution

The fourth proportional to 277.92, 416.70 and 180.48 is: 270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.92 : 416.70 = 180.48 : x
  2. Step 2: Convert to fraction form
    277.92/416.70 = 180.48/x
  3. Step 3: Cross multiply
    277.92x = 416.70 × 180.48
  4. Step 4: Simplify right side
    277.92x = 75,206.02
  5. Step 5: Solve for x
    x = 75,206.02/277.92
  6. Step 6: Final answer
    x = 270.60

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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.