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Finding the Fourth Proportional to 407.05, 610.62 and 133.15

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Solution

The fourth proportional to 407.05, 610.62 and 133.15 is: 199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.05 : 610.62 = 133.15 : x
  2. Step 2: Convert to fraction form
    407.05/610.62 = 133.15/x
  3. Step 3: Cross multiply
    407.05x = 610.62 × 133.15
  4. Step 4: Simplify right side
    407.05x = 81,304.05
  5. Step 5: Solve for x
    x = 81,304.05/407.05
  6. Step 6: Final answer
    x = 199.74

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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.