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Finding the Fourth Proportional to 306.66, 423.54 and 208.25

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Solution

The fourth proportional to 306.66, 423.54 and 208.25 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.66 : 423.54 = 208.25 : x
  2. Step 2: Convert to fraction form
    306.66/423.54 = 208.25/x
  3. Step 3: Cross multiply
    306.66x = 423.54 × 208.25
  4. Step 4: Simplify right side
    306.66x = 88,202.21
  5. Step 5: Solve for x
    x = 88,202.21/306.66
  6. Step 6: Final answer
    x = 287.62

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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.