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Finding the Fourth Proportional to 182.72, 274.15 and 114.17

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Solution

The fourth proportional to 182.72, 274.15 and 114.17 is: 171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.72 : 274.15 = 114.17 : x
  2. Step 2: Convert to fraction form
    182.72/274.15 = 114.17/x
  3. Step 3: Cross multiply
    182.72x = 274.15 × 114.17
  4. Step 4: Simplify right side
    182.72x = 31,298.99
  5. Step 5: Solve for x
    x = 31,298.99/182.72
  6. Step 6: Final answer
    x = 171.29

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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.