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Finding the Fourth Proportional to 306.74, 460.19 and 133.33

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Solution

The fourth proportional to 306.74, 460.19 and 133.33 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 460.19 = 133.33 : x
  2. Step 2: Convert to fraction form
    306.74/460.19 = 133.33/x
  3. Step 3: Cross multiply
    306.74x = 460.19 × 133.33
  4. Step 4: Simplify right side
    306.74x = 61,357.13
  5. Step 5: Solve for x
    x = 61,357.13/306.74
  6. Step 6: Final answer
    x = 200.03

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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.