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Finding the Fourth Proportional to 260.24, 388.82 and 214.06

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Solution

The fourth proportional to 260.24, 388.82 and 214.06 is: 319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.24 : 388.82 = 214.06 : x
  2. Step 2: Convert to fraction form
    260.24/388.82 = 214.06/x
  3. Step 3: Cross multiply
    260.24x = 388.82 × 214.06
  4. Step 4: Simplify right side
    260.24x = 83,230.81
  5. Step 5: Solve for x
    x = 83,230.81/260.24
  6. Step 6: Final answer
    x = 319.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.