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Finding the Fourth Proportional to 236.76, 354.96 and 140.64

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Solution

The fourth proportional to 236.76, 354.96 and 140.64 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.76 : 354.96 = 140.64 : x
  2. Step 2: Convert to fraction form
    236.76/354.96 = 140.64/x
  3. Step 3: Cross multiply
    236.76x = 354.96 × 140.64
  4. Step 4: Simplify right side
    236.76x = 49,921.57
  5. Step 5: Solve for x
    x = 49,921.57/236.76
  6. Step 6: Final answer
    x = 210.85

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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.