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Finding the Fourth Proportional to 236.01, 354.05 and 120.46

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Solution

The fourth proportional to 236.01, 354.05 and 120.46 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.01 : 354.05 = 120.46 : x
  2. Step 2: Convert to fraction form
    236.01/354.05 = 120.46/x
  3. Step 3: Cross multiply
    236.01x = 354.05 × 120.46
  4. Step 4: Simplify right side
    236.01x = 42,649.15
  5. Step 5: Solve for x
    x = 42,649.15/236.01
  6. Step 6: Final answer
    x = 180.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.