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Finding the Fourth Proportional to 260.19, 358.97 and 149.58

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Solution

The fourth proportional to 260.19, 358.97 and 149.58 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.19 : 358.97 = 149.58 : x
  2. Step 2: Convert to fraction form
    260.19/358.97 = 149.58/x
  3. Step 3: Cross multiply
    260.19x = 358.97 × 149.58
  4. Step 4: Simplify right side
    260.19x = 53,694.73
  5. Step 5: Solve for x
    x = 53,694.73/260.19
  6. Step 6: Final answer
    x = 206.37

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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.