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Finding the Fourth Proportional to 255.44, 352.32 and 166.75

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Solution

The fourth proportional to 255.44, 352.32 and 166.75 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.44 : 352.32 = 166.75 : x
  2. Step 2: Convert to fraction form
    255.44/352.32 = 166.75/x
  3. Step 3: Cross multiply
    255.44x = 352.32 × 166.75
  4. Step 4: Simplify right side
    255.44x = 58,748.53
  5. Step 5: Solve for x
    x = 58,748.53/255.44
  6. Step 6: Final answer
    x = 229.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.