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Finding the Fourth Proportional to 544.16, 816.34 and 179.06

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Solution

The fourth proportional to 544.16, 816.34 and 179.06 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 816.34 = 179.06 : x
  2. Step 2: Convert to fraction form
    544.16/816.34 = 179.06/x
  3. Step 3: Cross multiply
    544.16x = 816.34 × 179.06
  4. Step 4: Simplify right side
    544.16x = 146,169.31
  5. Step 5: Solve for x
    x = 146,169.31/544.16
  6. Step 6: Final answer
    x = 268.61

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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.