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Finding the Fourth Proportional to 277.54, 416.60 and 140.54

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Solution

The fourth proportional to 277.54, 416.60 and 140.54 is: 210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.54 : 416.60 = 140.54 : x
  2. Step 2: Convert to fraction form
    277.54/416.60 = 140.54/x
  3. Step 3: Cross multiply
    277.54x = 416.60 × 140.54
  4. Step 4: Simplify right side
    277.54x = 58,550.36
  5. Step 5: Solve for x
    x = 58,550.36/277.54
  6. Step 6: Final answer
    x = 210.96

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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.