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Finding the Fourth Proportional to 407.82, 611.50 and 133.84

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Solution

The fourth proportional to 407.82, 611.50 and 133.84 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.82 : 611.50 = 133.84 : x
  2. Step 2: Convert to fraction form
    407.82/611.50 = 133.84/x
  3. Step 3: Cross multiply
    407.82x = 611.50 × 133.84
  4. Step 4: Simplify right side
    407.82x = 81,839.43
  5. Step 5: Solve for x
    x = 81,839.43/407.82
  6. Step 6: Final answer
    x = 200.68

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Why These Related Problems?

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