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Finding the Fourth Proportional to 181.53, 272.30 and 109.71

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Solution

The fourth proportional to 181.53, 272.30 and 109.71 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.53 : 272.30 = 109.71 : x
  2. Step 2: Convert to fraction form
    181.53/272.30 = 109.71/x
  3. Step 3: Cross multiply
    181.53x = 272.30 × 109.71
  4. Step 4: Simplify right side
    181.53x = 29,873.48
  5. Step 5: Solve for x
    x = 29,873.48/181.53
  6. Step 6: Final answer
    x = 164.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.