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Finding the Fourth Proportional to 308.66, 462.99 and 80.66

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Solution

The fourth proportional to 308.66, 462.99 and 80.66 is: 120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.66 : 462.99 = 80.66 : x
  2. Step 2: Convert to fraction form
    308.66/462.99 = 80.66/x
  3. Step 3: Cross multiply
    308.66x = 462.99 × 80.66
  4. Step 4: Simplify right side
    308.66x = 37,342.63
  5. Step 5: Solve for x
    x = 37,342.63/308.66
  6. Step 6: Final answer
    x = 120.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.