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Finding the Fourth Proportional to 354.10, 531.28 and 137.69

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Solution

The fourth proportional to 354.10, 531.28 and 137.69 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.10 : 531.28 = 137.69 : x
  2. Step 2: Convert to fraction form
    354.10/531.28 = 137.69/x
  3. Step 3: Cross multiply
    354.10x = 531.28 × 137.69
  4. Step 4: Simplify right side
    354.10x = 73,151.94
  5. Step 5: Solve for x
    x = 73,151.94/354.10
  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.