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Finding the Fourth Proportional to 260.04, 359.06 and 161.97

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Solution

The fourth proportional to 260.04, 359.06 and 161.97 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.04 : 359.06 = 161.97 : x
  2. Step 2: Convert to fraction form
    260.04/359.06 = 161.97/x
  3. Step 3: Cross multiply
    260.04x = 359.06 × 161.97
  4. Step 4: Simplify right side
    260.04x = 58,156.14
  5. Step 5: Solve for x
    x = 58,156.14/260.04
  6. Step 6: Final answer
    x = 223.64

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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.