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Finding the Fourth Proportional to 407.23, 610.78 and 133.31

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Solution

The fourth proportional to 407.23, 610.78 and 133.31 is: 199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.23 : 610.78 = 133.31 : x
  2. Step 2: Convert to fraction form
    407.23/610.78 = 133.31/x
  3. Step 3: Cross multiply
    407.23x = 610.78 × 133.31
  4. Step 4: Simplify right side
    407.23x = 81,425.54
  5. Step 5: Solve for x
    x = 81,425.54/407.23
  6. Step 6: Final answer
    x = 199.95

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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.