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Finding the Fourth Proportional to 236.50, 354.90 and 122.50

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Solution

The fourth proportional to 236.50, 354.90 and 122.50 is: 183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.50 : 354.90 = 122.50 : x
  2. Step 2: Convert to fraction form
    236.50/354.90 = 122.50/x
  3. Step 3: Cross multiply
    236.50x = 354.90 × 122.50
  4. Step 4: Simplify right side
    236.50x = 43,475.25
  5. Step 5: Solve for x
    x = 43,475.25/236.50
  6. Step 6: Final answer
    x = 183.83

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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.