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Finding the Fourth Proportional to 183.18, 274.68 and 114.66

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Solution

The fourth proportional to 183.18, 274.68 and 114.66 is: 171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.18 : 274.68 = 114.66 : x
  2. Step 2: Convert to fraction form
    183.18/274.68 = 114.66/x
  3. Step 3: Cross multiply
    183.18x = 274.68 × 114.66
  4. Step 4: Simplify right side
    183.18x = 31,494.81
  5. Step 5: Solve for x
    x = 31,494.81/183.18
  6. Step 6: Final answer
    x = 171.93

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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.