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Finding the Fourth Proportional to 181.97, 272.65 and 145.52

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Solution

The fourth proportional to 181.97, 272.65 and 145.52 is: 218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.97 : 272.65 = 145.52 : x
  2. Step 2: Convert to fraction form
    181.97/272.65 = 145.52/x
  3. Step 3: Cross multiply
    181.97x = 272.65 × 145.52
  4. Step 4: Simplify right side
    181.97x = 39,676.03
  5. Step 5: Solve for x
    x = 39,676.03/181.97
  6. Step 6: Final answer
    x = 218.04

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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.