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Finding the Fourth Proportional to 215.77, 324.96 and 181.75

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Solution

The fourth proportional to 215.77, 324.96 and 181.75 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.77 : 324.96 = 181.75 : x
  2. Step 2: Convert to fraction form
    215.77/324.96 = 181.75/x
  3. Step 3: Cross multiply
    215.77x = 324.96 × 181.75
  4. Step 4: Simplify right side
    215.77x = 59,061.48
  5. Step 5: Solve for x
    x = 59,061.48/215.77
  6. Step 6: Final answer
    x = 273.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.