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Finding the Fourth Proportional to 407.13, 610.83 and 133.22

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Solution

The fourth proportional to 407.13, 610.83 and 133.22 is: 199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.13 : 610.83 = 133.22 : x
  2. Step 2: Convert to fraction form
    407.13/610.83 = 133.22/x
  3. Step 3: Cross multiply
    407.13x = 610.83 × 133.22
  4. Step 4: Simplify right side
    407.13x = 81,371.72
  5. Step 5: Solve for x
    x = 81,371.72/407.13
  6. Step 6: Final answer
    x = 199.87

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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.