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Finding the Fourth Proportional to 214.06, 322.33 and 181.67

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Solution

The fourth proportional to 214.06, 322.33 and 181.67 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.06 : 322.33 = 181.67 : x
  2. Step 2: Convert to fraction form
    214.06/322.33 = 181.67/x
  3. Step 3: Cross multiply
    214.06x = 322.33 × 181.67
  4. Step 4: Simplify right side
    214.06x = 58,557.24
  5. Step 5: Solve for x
    x = 58,557.24/214.06
  6. Step 6: Final answer
    x = 273.56

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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.