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Finding the Fourth Proportional to 260.88, 359.64 and 214.19

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Solution

The fourth proportional to 260.88, 359.64 and 214.19 is: 295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.88 : 359.64 = 214.19 : x
  2. Step 2: Convert to fraction form
    260.88/359.64 = 214.19/x
  3. Step 3: Cross multiply
    260.88x = 359.64 × 214.19
  4. Step 4: Simplify right side
    260.88x = 77,029.49
  5. Step 5: Solve for x
    x = 77,029.49/260.88
  6. Step 6: Final answer
    x = 295.27

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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.