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Finding the Fourth Proportional to 355.33, 532.81 and 138.79

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Solution

The fourth proportional to 355.33, 532.81 and 138.79 is: 208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.33 : 532.81 = 138.79 : x
  2. Step 2: Convert to fraction form
    355.33/532.81 = 138.79/x
  3. Step 3: Cross multiply
    355.33x = 532.81 × 138.79
  4. Step 4: Simplify right side
    355.33x = 73,948.70
  5. Step 5: Solve for x
    x = 73,948.70/355.33
  6. Step 6: Final answer
    x = 208.11

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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.