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Finding the Fourth Proportional to 329.42, 494.25 and 137.06

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Solution

The fourth proportional to 329.42, 494.25 and 137.06 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.42 : 494.25 = 137.06 : x
  2. Step 2: Convert to fraction form
    329.42/494.25 = 137.06/x
  3. Step 3: Cross multiply
    329.42x = 494.25 × 137.06
  4. Step 4: Simplify right side
    329.42x = 67,741.91
  5. Step 5: Solve for x
    x = 67,741.91/329.42
  6. Step 6: Final answer
    x = 205.64

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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.