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Finding the Fourth Proportional to 181.64, 272.20 and 104.64

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Solution

The fourth proportional to 181.64, 272.20 and 104.64 is: 156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.64 : 272.20 = 104.64 : x
  2. Step 2: Convert to fraction form
    181.64/272.20 = 104.64/x
  3. Step 3: Cross multiply
    181.64x = 272.20 × 104.64
  4. Step 4: Simplify right side
    181.64x = 28,483.01
  5. Step 5: Solve for x
    x = 28,483.01/181.64
  6. Step 6: Final answer
    x = 156.81

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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.