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Finding the Fourth Proportional to 252.56, 378.84 and 214

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Solution

The fourth proportional to 252.56, 378.84 and 214 is: 321

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 378.84 = 214 : x
  2. Step 2: Convert to fraction form
    252.56/378.84 = 214/x
  3. Step 3: Cross multiply
    252.56x = 378.84 × 214
  4. Step 4: Simplify right side
    252.56x = 81,071.76
  5. Step 5: Solve for x
    x = 81,071.76/252.56
  6. Step 6: Final answer
    x = 321

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Why These Related Problems?

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