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Finding the Fourth Proportional to 364.44, 546.46 and 120.83

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Solution

The fourth proportional to 364.44, 546.46 and 120.83 is: 181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.44 : 546.46 = 120.83 : x
  2. Step 2: Convert to fraction form
    364.44/546.46 = 120.83/x
  3. Step 3: Cross multiply
    364.44x = 546.46 × 120.83
  4. Step 4: Simplify right side
    364.44x = 66,029.83
  5. Step 5: Solve for x
    x = 66,029.83/364.44
  6. Step 6: Final answer
    x = 181.18

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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.