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Finding the Fourth Proportional to 544.45, 816.21 and 179.14

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Solution

The fourth proportional to 544.45, 816.21 and 179.14 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.45 : 816.21 = 179.14 : x
  2. Step 2: Convert to fraction form
    544.45/816.21 = 179.14/x
  3. Step 3: Cross multiply
    544.45x = 816.21 × 179.14
  4. Step 4: Simplify right side
    544.45x = 146,215.86
  5. Step 5: Solve for x
    x = 146,215.86/544.45
  6. Step 6: Final answer
    x = 268.56

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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.