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Finding the Fourth Proportional to 354.32, 531.04 and 137.84

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Solution

The fourth proportional to 354.32, 531.04 and 137.84 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.32 : 531.04 = 137.84 : x
  2. Step 2: Convert to fraction form
    354.32/531.04 = 137.84/x
  3. Step 3: Cross multiply
    354.32x = 531.04 × 137.84
  4. Step 4: Simplify right side
    354.32x = 73,198.55
  5. Step 5: Solve for x
    x = 73,198.55/354.32
  6. Step 6: Final answer
    x = 206.59

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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.