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Finding the Fourth Proportional to 544.17, 816.37 and 178.94

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Solution

The fourth proportional to 544.17, 816.37 and 178.94 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.17 : 816.37 = 178.94 : x
  2. Step 2: Convert to fraction form
    544.17/816.37 = 178.94/x
  3. Step 3: Cross multiply
    544.17x = 816.37 × 178.94
  4. Step 4: Simplify right side
    544.17x = 146,081.47
  5. Step 5: Solve for x
    x = 146,081.47/544.17
  6. Step 6: Final answer
    x = 268.45

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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.