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Finding the Fourth Proportional to 354.86, 532.11 and 172.12

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Solution

The fourth proportional to 354.86, 532.11 and 172.12 is: 258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.86 : 532.11 = 172.12 : x
  2. Step 2: Convert to fraction form
    354.86/532.11 = 172.12/x
  3. Step 3: Cross multiply
    354.86x = 532.11 × 172.12
  4. Step 4: Simplify right side
    354.86x = 91,586.77
  5. Step 5: Solve for x
    x = 91,586.77/354.86
  6. Step 6: Final answer
    x = 258.09

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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.