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Finding the Fourth Proportional to 355.23, 532.91 and 138.69

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Solution

The fourth proportional to 355.23, 532.91 and 138.69 is: 208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.23 : 532.91 = 138.69 : x
  2. Step 2: Convert to fraction form
    355.23/532.91 = 138.69/x
  3. Step 3: Cross multiply
    355.23x = 532.91 × 138.69
  4. Step 4: Simplify right side
    355.23x = 73,905.93
  5. Step 5: Solve for x
    x = 73,905.93/355.23
  6. Step 6: Final answer
    x = 208.05

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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.