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Finding the Fourth Proportional to 179.96, 248.32 and 102.32

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Solution

The fourth proportional to 179.96, 248.32 and 102.32 is: 141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.96 : 248.32 = 102.32 : x
  2. Step 2: Convert to fraction form
    179.96/248.32 = 102.32/x
  3. Step 3: Cross multiply
    179.96x = 248.32 × 102.32
  4. Step 4: Simplify right side
    179.96x = 25,408.10
  5. Step 5: Solve for x
    x = 25,408.10/179.96
  6. Step 6: Final answer
    x = 141.19

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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.