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Finding the Fourth Proportional to 260.16, 358.72 and 186.44

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Solution

The fourth proportional to 260.16, 358.72 and 186.44 is: 257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 358.72 = 186.44 : x
  2. Step 2: Convert to fraction form
    260.16/358.72 = 186.44/x
  3. Step 3: Cross multiply
    260.16x = 358.72 × 186.44
  4. Step 4: Simplify right side
    260.16x = 66,879.76
  5. Step 5: Solve for x
    x = 66,879.76/260.16
  6. Step 6: Final answer
    x = 257.07

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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.