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Finding the Fourth Proportional to 236.31, 354.02 and 120.59

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Solution

The fourth proportional to 236.31, 354.02 and 120.59 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.31 : 354.02 = 120.59 : x
  2. Step 2: Convert to fraction form
    236.31/354.02 = 120.59/x
  3. Step 3: Cross multiply
    236.31x = 354.02 × 120.59
  4. Step 4: Simplify right side
    236.31x = 42,688.90
  5. Step 5: Solve for x
    x = 42,688.90/236.31
  6. Step 6: Final answer
    x = 180.65

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Why These Related Problems?

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