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Finding the Fourth Proportional to 277.97, 417.07 and 149.57

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Solution

The fourth proportional to 277.97, 417.07 and 149.57 is: 224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 417.07 = 149.57 : x
  2. Step 2: Convert to fraction form
    277.97/417.07 = 149.57/x
  3. Step 3: Cross multiply
    277.97x = 417.07 × 149.57
  4. Step 4: Simplify right side
    277.97x = 62,379.07
  5. Step 5: Solve for x
    x = 62,379.07/277.97
  6. Step 6: Final answer
    x = 224.41

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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.