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Finding the Fourth Proportional to 298.66, 447.96 and 136.30

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Solution

The fourth proportional to 298.66, 447.96 and 136.30 is: 204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.66 : 447.96 = 136.30 : x
  2. Step 2: Convert to fraction form
    298.66/447.96 = 136.30/x
  3. Step 3: Cross multiply
    298.66x = 447.96 × 136.30
  4. Step 4: Simplify right side
    298.66x = 61,056.95
  5. Step 5: Solve for x
    x = 61,056.95/298.66
  6. Step 6: Final answer
    x = 204.44

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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.