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Finding the Fourth Proportional to 258.75, 357.08 and 171.59

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Solution

The fourth proportional to 258.75, 357.08 and 171.59 is: 236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.75 : 357.08 = 171.59 : x
  2. Step 2: Convert to fraction form
    258.75/357.08 = 171.59/x
  3. Step 3: Cross multiply
    258.75x = 357.08 × 171.59
  4. Step 4: Simplify right side
    258.75x = 61,270.00
  5. Step 5: Solve for x
    x = 61,270.00/258.75
  6. Step 6: Final answer
    x = 236.79

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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.