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Finding the Fourth Proportional to 181.80, 274.55 and 181.80

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Solution

The fourth proportional to 181.80, 274.55 and 181.80 is: 274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 274.55 = 181.80 : x
  2. Step 2: Convert to fraction form
    181.80/274.55 = 181.80/x
  3. Step 3: Cross multiply
    181.80x = 274.55 × 181.80
  4. Step 4: Simplify right side
    181.80x = 49,913.19
  5. Step 5: Solve for x
    x = 49,913.19/181.80
  6. Step 6: Final answer
    x = 274.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.