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Finding the Fourth Proportional to 575.73, 863.51 and 164.90

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Solution

The fourth proportional to 575.73, 863.51 and 164.90 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.73 : 863.51 = 164.90 : x
  2. Step 2: Convert to fraction form
    575.73/863.51 = 164.90/x
  3. Step 3: Cross multiply
    575.73x = 863.51 × 164.90
  4. Step 4: Simplify right side
    575.73x = 142,392.80
  5. Step 5: Solve for x
    x = 142,392.80/575.73
  6. Step 6: Final answer
    x = 247.33

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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.