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Finding the Fourth Proportional to 236.02, 354.12 and 137.24

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Solution

The fourth proportional to 236.02, 354.12 and 137.24 is: 205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.02 : 354.12 = 137.24 : x
  2. Step 2: Convert to fraction form
    236.02/354.12 = 137.24/x
  3. Step 3: Cross multiply
    236.02x = 354.12 × 137.24
  4. Step 4: Simplify right side
    236.02x = 48,599.43
  5. Step 5: Solve for x
    x = 48,599.43/236.02
  6. Step 6: Final answer
    x = 205.91

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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.