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Finding the Fourth Proportional to 260.93, 359.96 and 171.15

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Solution

The fourth proportional to 260.93, 359.96 and 171.15 is: 236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.93 : 359.96 = 171.15 : x
  2. Step 2: Convert to fraction form
    260.93/359.96 = 171.15/x
  3. Step 3: Cross multiply
    260.93x = 359.96 × 171.15
  4. Step 4: Simplify right side
    260.93x = 61,606.30
  5. Step 5: Solve for x
    x = 61,606.30/260.93
  6. Step 6: Final answer
    x = 236.10

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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.