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Finding the Fourth Proportional to 180.64, 248.96 and 136.96

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Solution

The fourth proportional to 180.64, 248.96 and 136.96 is: 188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 248.96 = 136.96 : x
  2. Step 2: Convert to fraction form
    180.64/248.96 = 136.96/x
  3. Step 3: Cross multiply
    180.64x = 248.96 × 136.96
  4. Step 4: Simplify right side
    180.64x = 34,097.56
  5. Step 5: Solve for x
    x = 34,097.56/180.64
  6. Step 6: Final answer
    x = 188.76

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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.