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Finding the Fourth Proportional to 180.01, 248.29 and 121.69

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Solution

The fourth proportional to 180.01, 248.29 and 121.69 is: 167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 248.29 = 121.69 : x
  2. Step 2: Convert to fraction form
    180.01/248.29 = 121.69/x
  3. Step 3: Cross multiply
    180.01x = 248.29 × 121.69
  4. Step 4: Simplify right side
    180.01x = 30,214.41
  5. Step 5: Solve for x
    x = 30,214.41/180.01
  6. Step 6: Final answer
    x = 167.85

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