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Finding the Fourth Proportional to 365.59, 548.12 and 182.85

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Solution

The fourth proportional to 365.59, 548.12 and 182.85 is: 274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.59 : 548.12 = 182.85 : x
  2. Step 2: Convert to fraction form
    365.59/548.12 = 182.85/x
  3. Step 3: Cross multiply
    365.59x = 548.12 × 182.85
  4. Step 4: Simplify right side
    365.59x = 100,224.20
  5. Step 5: Solve for x
    x = 100,224.20/365.59
  6. Step 6: Final answer
    x = 274.15

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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.