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Finding the Fourth Proportional to 180.16, 248.36 and 121.84

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Solution

The fourth proportional to 180.16, 248.36 and 121.84 is: 167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 248.36 = 121.84 : x
  2. Step 2: Convert to fraction form
    180.16/248.36 = 121.84/x
  3. Step 3: Cross multiply
    180.16x = 248.36 × 121.84
  4. Step 4: Simplify right side
    180.16x = 30,260.18
  5. Step 5: Solve for x
    x = 30,260.18/180.16
  6. Step 6: Final answer
    x = 167.96

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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.