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Finding the Fourth Proportional to 306.25, 422.62 and 166.36

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Solution

The fourth proportional to 306.25, 422.62 and 166.36 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.25 : 422.62 = 166.36 : x
  2. Step 2: Convert to fraction form
    306.25/422.62 = 166.36/x
  3. Step 3: Cross multiply
    306.25x = 422.62 × 166.36
  4. Step 4: Simplify right side
    306.25x = 70,308.71
  5. Step 5: Solve for x
    x = 70,308.71/306.25
  6. Step 6: Final answer
    x = 229.58

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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.