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Finding the Fourth Proportional to 306.22, 458.90 and 161.76

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Solution

The fourth proportional to 306.22, 458.90 and 161.76 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.22 : 458.90 = 161.76 : x
  2. Step 2: Convert to fraction form
    306.22/458.90 = 161.76/x
  3. Step 3: Cross multiply
    306.22x = 458.90 × 161.76
  4. Step 4: Simplify right side
    306.22x = 74,231.66
  5. Step 5: Solve for x
    x = 74,231.66/306.22
  6. Step 6: Final answer
    x = 242.41

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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.