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Finding the Fourth Proportional to 181.88, 273.14 and 125.24

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Solution

The fourth proportional to 181.88, 273.14 and 125.24 is: 188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.88 : 273.14 = 125.24 : x
  2. Step 2: Convert to fraction form
    181.88/273.14 = 125.24/x
  3. Step 3: Cross multiply
    181.88x = 273.14 × 125.24
  4. Step 4: Simplify right side
    181.88x = 34,208.05
  5. Step 5: Solve for x
    x = 34,208.05/181.88
  6. Step 6: Final answer
    x = 188.08

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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.