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Finding the Fourth Proportional to 575.53, 863.17 and 164.66

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Solution

The fourth proportional to 575.53, 863.17 and 164.66 is: 246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.53 : 863.17 = 164.66 : x
  2. Step 2: Convert to fraction form
    575.53/863.17 = 164.66/x
  3. Step 3: Cross multiply
    575.53x = 863.17 × 164.66
  4. Step 4: Simplify right side
    575.53x = 142,129.57
  5. Step 5: Solve for x
    x = 142,129.57/575.53
  6. Step 6: Final answer
    x = 246.95

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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.