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Finding the Fourth Proportional to 355.08, 532.47 and 172.44

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Solution

The fourth proportional to 355.08, 532.47 and 172.44 is: 258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.08 : 532.47 = 172.44 : x
  2. Step 2: Convert to fraction form
    355.08/532.47 = 172.44/x
  3. Step 3: Cross multiply
    355.08x = 532.47 × 172.44
  4. Step 4: Simplify right side
    355.08x = 91,819.13
  5. Step 5: Solve for x
    x = 91,819.13/355.08
  6. Step 6: Final answer
    x = 258.59

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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.