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Finding the Fourth Proportional to 236.61, 354.89 and 114.84

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Solution

The fourth proportional to 236.61, 354.89 and 114.84 is: 172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.61 : 354.89 = 114.84 : x
  2. Step 2: Convert to fraction form
    236.61/354.89 = 114.84/x
  3. Step 3: Cross multiply
    236.61x = 354.89 × 114.84
  4. Step 4: Simplify right side
    236.61x = 40,755.85
  5. Step 5: Solve for x
    x = 40,755.85/236.61
  6. Step 6: Final answer
    x = 172.25

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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.