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Finding the Fourth Proportional to 206.08, 310.63 and 193.36

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Solution

The fourth proportional to 206.08, 310.63 and 193.36 is: 291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 310.63 = 193.36 : x
  2. Step 2: Convert to fraction form
    206.08/310.63 = 193.36/x
  3. Step 3: Cross multiply
    206.08x = 310.63 × 193.36
  4. Step 4: Simplify right side
    206.08x = 60,063.42
  5. Step 5: Solve for x
    x = 60,063.42/206.08
  6. Step 6: Final answer
    x = 291.46

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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.