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Finding the Fourth Proportional to 253.12, 377.84 and 219.12

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Solution

The fourth proportional to 253.12, 377.84 and 219.12 is: 327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 377.84 = 219.12 : x
  2. Step 2: Convert to fraction form
    253.12/377.84 = 219.12/x
  3. Step 3: Cross multiply
    253.12x = 377.84 × 219.12
  4. Step 4: Simplify right side
    253.12x = 82,792.30
  5. Step 5: Solve for x
    x = 82,792.30/253.12
  6. Step 6: Final answer
    x = 327.09

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Why These Related Problems?

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