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Finding the Fourth Proportional to 181.70, 272.24 and 117.44

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Solution

The fourth proportional to 181.70, 272.24 and 117.44 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.70 : 272.24 = 117.44 : x
  2. Step 2: Convert to fraction form
    181.70/272.24 = 117.44/x
  3. Step 3: Cross multiply
    181.70x = 272.24 × 117.44
  4. Step 4: Simplify right side
    181.70x = 31,971.87
  5. Step 5: Solve for x
    x = 31,971.87/181.70
  6. Step 6: Final answer
    x = 175.96

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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.