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Finding the Fourth Proportional to 181.67, 272.01 and 144.93

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Solution

The fourth proportional to 181.67, 272.01 and 144.93 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.67 : 272.01 = 144.93 : x
  2. Step 2: Convert to fraction form
    181.67/272.01 = 144.93/x
  3. Step 3: Cross multiply
    181.67x = 272.01 × 144.93
  4. Step 4: Simplify right side
    181.67x = 39,422.93
  5. Step 5: Solve for x
    x = 39,422.93/181.67
  6. Step 6: Final answer
    x = 217.01

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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.