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Finding the Fourth Proportional to 236.32, 354.49 and 80.15

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Solution

The fourth proportional to 236.32, 354.49 and 80.15 is: 120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.32 : 354.49 = 80.15 : x
  2. Step 2: Convert to fraction form
    236.32/354.49 = 80.15/x
  3. Step 3: Cross multiply
    236.32x = 354.49 × 80.15
  4. Step 4: Simplify right side
    236.32x = 28,412.37
  5. Step 5: Solve for x
    x = 28,412.37/236.32
  6. Step 6: Final answer
    x = 120.23

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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.