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Finding the Fourth Proportional to 354.36, 531 and 137.82

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Solution

The fourth proportional to 354.36, 531 and 137.82 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.36 : 531 = 137.82 : x
  2. Step 2: Convert to fraction form
    354.36/531 = 137.82/x
  3. Step 3: Cross multiply
    354.36x = 531 × 137.82
  4. Step 4: Simplify right side
    354.36x = 73,182.42
  5. Step 5: Solve for x
    x = 73,182.42/354.36
  6. Step 6: Final answer
    x = 206.52

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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.