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Finding the Fourth Proportional to 260.30, 389.94 and 214.18

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Solution

The fourth proportional to 260.30, 389.94 and 214.18 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.30 : 389.94 = 214.18 : x
  2. Step 2: Convert to fraction form
    260.30/389.94 = 214.18/x
  3. Step 3: Cross multiply
    260.30x = 389.94 × 214.18
  4. Step 4: Simplify right side
    260.30x = 83,517.35
  5. Step 5: Solve for x
    x = 83,517.35/260.30
  6. Step 6: Final answer
    x = 320.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.