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Finding the Fourth Proportional to 275.94, 412.83 and 173.07

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Solution

The fourth proportional to 275.94, 412.83 and 173.07 is: 258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 412.83 = 173.07 : x
  2. Step 2: Convert to fraction form
    275.94/412.83 = 173.07/x
  3. Step 3: Cross multiply
    275.94x = 412.83 × 173.07
  4. Step 4: Simplify right side
    275.94x = 71,448.49
  5. Step 5: Solve for x
    x = 71,448.49/275.94
  6. Step 6: Final answer
    x = 258.93

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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.