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Finding the Fourth Proportional to 181.78, 272.10 and 175.44

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Solution

The fourth proportional to 181.78, 272.10 and 175.44 is: 262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 272.10 = 175.44 : x
  2. Step 2: Convert to fraction form
    181.78/272.10 = 175.44/x
  3. Step 3: Cross multiply
    181.78x = 272.10 × 175.44
  4. Step 4: Simplify right side
    181.78x = 47,737.22
  5. Step 5: Solve for x
    x = 47,737.22/181.78
  6. Step 6: Final answer
    x = 262.61

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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.