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Finding the Fourth Proportional to 277.06, 415.41 and 146.97

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Solution

The fourth proportional to 277.06, 415.41 and 146.97 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.06 : 415.41 = 146.97 : x
  2. Step 2: Convert to fraction form
    277.06/415.41 = 146.97/x
  3. Step 3: Cross multiply
    277.06x = 415.41 × 146.97
  4. Step 4: Simplify right side
    277.06x = 61,053.04
  5. Step 5: Solve for x
    x = 61,053.04/277.06
  6. Step 6: Final answer
    x = 220.36

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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.