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Finding the Fourth Proportional to 575.72, 863.57 and 164.85

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Solution

The fourth proportional to 575.72, 863.57 and 164.85 is: 247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.72 : 863.57 = 164.85 : x
  2. Step 2: Convert to fraction form
    575.72/863.57 = 164.85/x
  3. Step 3: Cross multiply
    575.72x = 863.57 × 164.85
  4. Step 4: Simplify right side
    575.72x = 142,358.69
  5. Step 5: Solve for x
    x = 142,358.69/575.72
  6. Step 6: Final answer
    x = 247.27

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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.