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Finding the Fourth Proportional to 236.34, 354.60 and 120.84

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Solution

The fourth proportional to 236.34, 354.60 and 120.84 is: 181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.34 : 354.60 = 120.84 : x
  2. Step 2: Convert to fraction form
    236.34/354.60 = 120.84/x
  3. Step 3: Cross multiply
    236.34x = 354.60 × 120.84
  4. Step 4: Simplify right side
    236.34x = 42,849.86
  5. Step 5: Solve for x
    x = 42,849.86/236.34
  6. Step 6: Final answer
    x = 181.31

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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.