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Finding the Fourth Proportional to 182.00, 270.75 and 181.40

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Solution

The fourth proportional to 182.00, 270.75 and 181.40 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.00 : 270.75 = 181.40 : x
  2. Step 2: Convert to fraction form
    182.00/270.75 = 181.40/x
  3. Step 3: Cross multiply
    182.00x = 270.75 × 181.40
  4. Step 4: Simplify right side
    182.00x = 49,112.70
  5. Step 5: Solve for x
    x = 49,112.70/182.00
  6. Step 6: Final answer
    x = 269.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.