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Finding the Fourth Proportional to 181.33, 270.51 and 176.37

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Solution

The fourth proportional to 181.33, 270.51 and 176.37 is: 263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.33 : 270.51 = 176.37 : x
  2. Step 2: Convert to fraction form
    181.33/270.51 = 176.37/x
  3. Step 3: Cross multiply
    181.33x = 270.51 × 176.37
  4. Step 4: Simplify right side
    181.33x = 47,709.85
  5. Step 5: Solve for x
    x = 47,709.85/181.33
  6. Step 6: Final answer
    x = 263.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.