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Finding the Fourth Proportional to 181.25, 271.57 and 175.78

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Solution

The fourth proportional to 181.25, 271.57 and 175.78 is: 263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.25 : 271.57 = 175.78 : x
  2. Step 2: Convert to fraction form
    181.25/271.57 = 175.78/x
  3. Step 3: Cross multiply
    181.25x = 271.57 × 175.78
  4. Step 4: Simplify right side
    181.25x = 47,736.57
  5. Step 5: Solve for x
    x = 47,736.57/181.25
  6. Step 6: Final answer
    x = 263.37

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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.