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Finding the Fourth Proportional to 258.19, 356.33 and 171.05

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Solution

The fourth proportional to 258.19, 356.33 and 171.05 is: 236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 356.33 = 171.05 : x
  2. Step 2: Convert to fraction form
    258.19/356.33 = 171.05/x
  3. Step 3: Cross multiply
    258.19x = 356.33 × 171.05
  4. Step 4: Simplify right side
    258.19x = 60,948.89
  5. Step 5: Solve for x
    x = 60,948.89/258.19
  6. Step 6: Final answer
    x = 236.06

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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.