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Finding the Fourth Proportional to 214.88, 296 and 195.52

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Solution

The fourth proportional to 214.88, 296 and 195.52 is: 269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 296 = 195.52 : x
  2. Step 2: Convert to fraction form
    214.88/296 = 195.52/x
  3. Step 3: Cross multiply
    214.88x = 296 × 195.52
  4. Step 4: Simplify right side
    214.88x = 57,873.92
  5. Step 5: Solve for x
    x = 57,873.92/214.88
  6. Step 6: Final answer
    x = 269.33

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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.