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Finding the Fourth Proportional to 306.88, 423.42 and 208.60

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Solution

The fourth proportional to 306.88, 423.42 and 208.60 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 423.42 = 208.60 : x
  2. Step 2: Convert to fraction form
    306.88/423.42 = 208.60/x
  3. Step 3: Cross multiply
    306.88x = 423.42 × 208.60
  4. Step 4: Simplify right side
    306.88x = 88,325.41
  5. Step 5: Solve for x
    x = 88,325.41/306.88
  6. Step 6: Final answer
    x = 287.82

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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.