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Finding the Fourth Proportional to 407.85, 611.87 and 119.31

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Solution

The fourth proportional to 407.85, 611.87 and 119.31 is: 178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.85 : 611.87 = 119.31 : x
  2. Step 2: Convert to fraction form
    407.85/611.87 = 119.31/x
  3. Step 3: Cross multiply
    407.85x = 611.87 × 119.31
  4. Step 4: Simplify right side
    407.85x = 73,002.21
  5. Step 5: Solve for x
    x = 73,002.21/407.85
  6. Step 6: Final answer
    x = 178.99

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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.