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Finding the Fourth Proportional to 306.03, 422.32 and 166.14

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Solution

The fourth proportional to 306.03, 422.32 and 166.14 is: 229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.03 : 422.32 = 166.14 : x
  2. Step 2: Convert to fraction form
    306.03/422.32 = 166.14/x
  3. Step 3: Cross multiply
    306.03x = 422.32 × 166.14
  4. Step 4: Simplify right side
    306.03x = 70,164.24
  5. Step 5: Solve for x
    x = 70,164.24/306.03
  6. Step 6: Final answer
    x = 229.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.