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Finding the Fourth Proportional to 260.90, 359.94 and 150.35

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Solution

The fourth proportional to 260.90, 359.94 and 150.35 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.90 : 359.94 = 150.35 : x
  2. Step 2: Convert to fraction form
    260.90/359.94 = 150.35/x
  3. Step 3: Cross multiply
    260.90x = 359.94 × 150.35
  4. Step 4: Simplify right side
    260.90x = 54,116.98
  5. Step 5: Solve for x
    x = 54,116.98/260.90
  6. Step 6: Final answer
    x = 207.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.