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Finding the Fourth Proportional to 260.83, 359.92 and 150.31

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Solution

The fourth proportional to 260.83, 359.92 and 150.31 is: 207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.83 : 359.92 = 150.31 : x
  2. Step 2: Convert to fraction form
    260.83/359.92 = 150.31/x
  3. Step 3: Cross multiply
    260.83x = 359.92 × 150.31
  4. Step 4: Simplify right side
    260.83x = 54,098.82
  5. Step 5: Solve for x
    x = 54,098.82/260.83
  6. Step 6: Final answer
    x = 207.41

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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.