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Finding the Fourth Proportional to 181.60, 271.08 and 168.25

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Solution

The fourth proportional to 181.60, 271.08 and 168.25 is: 251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.60 : 271.08 = 168.25 : x
  2. Step 2: Convert to fraction form
    181.60/271.08 = 168.25/x
  3. Step 3: Cross multiply
    181.60x = 271.08 × 168.25
  4. Step 4: Simplify right side
    181.60x = 45,609.21
  5. Step 5: Solve for x
    x = 45,609.21/181.60
  6. Step 6: Final answer
    x = 251.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.