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Finding the Fourth Proportional to 252.84, 378.56 and 212.34

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Solution

The fourth proportional to 252.84, 378.56 and 212.34 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.84 : 378.56 = 212.34 : x
  2. Step 2: Convert to fraction form
    252.84/378.56 = 212.34/x
  3. Step 3: Cross multiply
    252.84x = 378.56 × 212.34
  4. Step 4: Simplify right side
    252.84x = 80,383.43
  5. Step 5: Solve for x
    x = 80,383.43/252.84
  6. Step 6: Final answer
    x = 317.92

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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.