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Finding the Fourth Proportional to 181.42, 272.20 and 144.60

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Solution

The fourth proportional to 181.42, 272.20 and 144.60 is: 216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.42 : 272.20 = 144.60 : x
  2. Step 2: Convert to fraction form
    181.42/272.20 = 144.60/x
  3. Step 3: Cross multiply
    181.42x = 272.20 × 144.60
  4. Step 4: Simplify right side
    181.42x = 39,360.12
  5. Step 5: Solve for x
    x = 39,360.12/181.42
  6. Step 6: Final answer
    x = 216.96

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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.