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Finding the Fourth Proportional to 206, 310.88 and 204.74

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Solution

The fourth proportional to 206, 310.88 and 204.74 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 310.88 = 204.74 : x
  2. Step 2: Convert to fraction form
    206/310.88 = 204.74/x
  3. Step 3: Cross multiply
    206x = 310.88 × 204.74
  4. Step 4: Simplify right side
    206x = 63,649.57
  5. Step 5: Solve for x
    x = 63,649.57/206
  6. Step 6: Final answer
    x = 308.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.