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Finding the Fourth Proportional to 258.81, 357.12 and 171.60

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Solution

The fourth proportional to 258.81, 357.12 and 171.60 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.81 : 357.12 = 171.60 : x
  2. Step 2: Convert to fraction form
    258.81/357.12 = 171.60/x
  3. Step 3: Cross multiply
    258.81x = 357.12 × 171.60
  4. Step 4: Simplify right side
    258.81x = 61,281.79
  5. Step 5: Solve for x
    x = 61,281.79/258.81
  6. Step 6: Final answer
    x = 236.78

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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.