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Finding the Fourth Proportional to 354.64, 531.97 and 172.18

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Solution

The fourth proportional to 354.64, 531.97 and 172.18 is: 258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.64 : 531.97 = 172.18 : x
  2. Step 2: Convert to fraction form
    354.64/531.97 = 172.18/x
  3. Step 3: Cross multiply
    354.64x = 531.97 × 172.18
  4. Step 4: Simplify right side
    354.64x = 91,594.59
  5. Step 5: Solve for x
    x = 91,594.59/354.64
  6. Step 6: Final answer
    x = 258.27

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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.