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Finding the Fourth Proportional to 183.14, 274.68 and 86.93

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Solution

The fourth proportional to 183.14, 274.68 and 86.93 is: 130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.14 : 274.68 = 86.93 : x
  2. Step 2: Convert to fraction form
    183.14/274.68 = 86.93/x
  3. Step 3: Cross multiply
    183.14x = 274.68 × 86.93
  4. Step 4: Simplify right side
    183.14x = 23,877.93
  5. Step 5: Solve for x
    x = 23,877.93/183.14
  6. Step 6: Final answer
    x = 130.38

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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.