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Finding the Fourth Proportional to 260.66, 359.34 and 186.84

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Solution

The fourth proportional to 260.66, 359.34 and 186.84 is: 257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.66 : 359.34 = 186.84 : x
  2. Step 2: Convert to fraction form
    260.66/359.34 = 186.84/x
  3. Step 3: Cross multiply
    260.66x = 359.34 × 186.84
  4. Step 4: Simplify right side
    260.66x = 67,139.09
  5. Step 5: Solve for x
    x = 67,139.09/260.66
  6. Step 6: Final answer
    x = 257.58

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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.