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Finding the Fourth Proportional to 309.54, 427.09 and 171.54

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Solution

The fourth proportional to 309.54, 427.09 and 171.54 is: 236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 427.09 = 171.54 : x
  2. Step 2: Convert to fraction form
    309.54/427.09 = 171.54/x
  3. Step 3: Cross multiply
    309.54x = 427.09 × 171.54
  4. Step 4: Simplify right side
    309.54x = 73,263.02
  5. Step 5: Solve for x
    x = 73,263.02/309.54
  6. Step 6: Final answer
    x = 236.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.