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Finding the Fourth Proportional to 306.98, 460.11 and 133.79

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Solution

The fourth proportional to 306.98, 460.11 and 133.79 is: 200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.98 : 460.11 = 133.79 : x
  2. Step 2: Convert to fraction form
    306.98/460.11 = 133.79/x
  3. Step 3: Cross multiply
    306.98x = 460.11 × 133.79
  4. Step 4: Simplify right side
    306.98x = 61,558.12
  5. Step 5: Solve for x
    x = 61,558.12/306.98
  6. Step 6: Final answer
    x = 200.53

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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.