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Finding the Fourth Proportional to 260.91, 360.34 and 206.06

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Solution

The fourth proportional to 260.91, 360.34 and 206.06 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.91 : 360.34 = 206.06 : x
  2. Step 2: Convert to fraction form
    260.91/360.34 = 206.06/x
  3. Step 3: Cross multiply
    260.91x = 360.34 × 206.06
  4. Step 4: Simplify right side
    260.91x = 74,249.34
  5. Step 5: Solve for x
    x = 74,249.34/260.91
  6. Step 6: Final answer
    x = 284.58

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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.