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Finding the Fourth Proportional to 277.31, 416.25 and 133.13

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Solution

The fourth proportional to 277.31, 416.25 and 133.13 is: 199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.31 : 416.25 = 133.13 : x
  2. Step 2: Convert to fraction form
    277.31/416.25 = 133.13/x
  3. Step 3: Cross multiply
    277.31x = 416.25 × 133.13
  4. Step 4: Simplify right side
    277.31x = 55,415.36
  5. Step 5: Solve for x
    x = 55,415.36/277.31
  6. Step 6: Final answer
    x = 199.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.