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Finding the Fourth Proportional to 392.14, 588.06 and 172.83

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Solution

The fourth proportional to 392.14, 588.06 and 172.83 is: 259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.14 : 588.06 = 172.83 : x
  2. Step 2: Convert to fraction form
    392.14/588.06 = 172.83/x
  3. Step 3: Cross multiply
    392.14x = 588.06 × 172.83
  4. Step 4: Simplify right side
    392.14x = 101,636.62
  5. Step 5: Solve for x
    x = 101,636.62/392.14
  6. Step 6: Final answer
    x = 259.18

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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.