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Finding the Fourth Proportional to 277.27, 416.00 and 133

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Solution

The fourth proportional to 277.27, 416.00 and 133 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.27 : 416.00 = 133 : x
  2. Step 2: Convert to fraction form
    277.27/416.00 = 133/x
  3. Step 3: Cross multiply
    277.27x = 416.00 × 133
  4. Step 4: Simplify right side
    277.27x = 55,327.34
  5. Step 5: Solve for x
    x = 55,327.34/277.27
  6. Step 6: Final answer
    x = 199.54

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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.