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Finding the Fourth Proportional to 277.68, 416.34 and 133.56

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Solution

The fourth proportional to 277.68, 416.34 and 133.56 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.68 : 416.34 = 133.56 : x
  2. Step 2: Convert to fraction form
    277.68/416.34 = 133.56/x
  3. Step 3: Cross multiply
    277.68x = 416.34 × 133.56
  4. Step 4: Simplify right side
    277.68x = 55,606.37
  5. Step 5: Solve for x
    x = 55,606.37/277.68
  6. Step 6: Final answer
    x = 200.25

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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.