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Finding the Fourth Proportional to 407.18, 610.83 and 133.21

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Solution

The fourth proportional to 407.18, 610.83 and 133.21 is: 199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.18 : 610.83 = 133.21 : x
  2. Step 2: Convert to fraction form
    407.18/610.83 = 133.21/x
  3. Step 3: Cross multiply
    407.18x = 610.83 × 133.21
  4. Step 4: Simplify right side
    407.18x = 81,365.61
  5. Step 5: Solve for x
    x = 81,365.61/407.18
  6. Step 6: Final answer
    x = 199.83

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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.