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Finding the Fourth Proportional to 181.92, 274.18 and 173.14

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Solution

The fourth proportional to 181.92, 274.18 and 173.14 is: 260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.92 : 274.18 = 173.14 : x
  2. Step 2: Convert to fraction form
    181.92/274.18 = 173.14/x
  3. Step 3: Cross multiply
    181.92x = 274.18 × 173.14
  4. Step 4: Simplify right side
    181.92x = 47,471.53
  5. Step 5: Solve for x
    x = 47,471.53/181.92
  6. Step 6: Final answer
    x = 260.95

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Why These Related Problems?

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