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Finding the Fourth Proportional to 544.57, 816.84 and 159.82

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Solution

The fourth proportional to 544.57, 816.84 and 159.82 is: 239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.57 : 816.84 = 159.82 : x
  2. Step 2: Convert to fraction form
    544.57/816.84 = 159.82/x
  3. Step 3: Cross multiply
    544.57x = 816.84 × 159.82
  4. Step 4: Simplify right side
    544.57x = 130,547.37
  5. Step 5: Solve for x
    x = 130,547.37/544.57
  6. Step 6: Final answer
    x = 239.73

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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.