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Finding the Fourth Proportional to 183.42, 274.80 and 114.84

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Solution

The fourth proportional to 183.42, 274.80 and 114.84 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.42 : 274.80 = 114.84 : x
  2. Step 2: Convert to fraction form
    183.42/274.80 = 114.84/x
  3. Step 3: Cross multiply
    183.42x = 274.80 × 114.84
  4. Step 4: Simplify right side
    183.42x = 31,558.03
  5. Step 5: Solve for x
    x = 31,558.03/183.42
  6. Step 6: Final answer
    x = 172.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.