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Finding the Fourth Proportional to 546, 819 and 180.84

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Solution

The fourth proportional to 546, 819 and 180.84 is: 271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 819 = 180.84 : x
  2. Step 2: Convert to fraction form
    546/819 = 180.84/x
  3. Step 3: Cross multiply
    546x = 819 × 180.84
  4. Step 4: Simplify right side
    546x = 148,107.96
  5. Step 5: Solve for x
    x = 148,107.96/546
  6. Step 6: Final answer
    x = 271.26

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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.