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Finding the Fourth Proportional to 365.50, 548.25 and 182.90

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Solution

The fourth proportional to 365.50, 548.25 and 182.90 is: 274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.50 : 548.25 = 182.90 : x
  2. Step 2: Convert to fraction form
    365.50/548.25 = 182.90/x
  3. Step 3: Cross multiply
    365.50x = 548.25 × 182.90
  4. Step 4: Simplify right side
    365.50x = 100,274.93
  5. Step 5: Solve for x
    x = 100,274.93/365.50
  6. Step 6: Final answer
    x = 274.35

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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.