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Finding the Fourth Proportional to 255.96, 352.82 and 173.04

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Solution

The fourth proportional to 255.96, 352.82 and 173.04 is: 238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 352.82 = 173.04 : x
  2. Step 2: Convert to fraction form
    255.96/352.82 = 173.04/x
  3. Step 3: Cross multiply
    255.96x = 352.82 × 173.04
  4. Step 4: Simplify right side
    255.96x = 61,051.11
  5. Step 5: Solve for x
    x = 61,051.11/255.96
  6. Step 6: Final answer
    x = 238.52

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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.