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Finding the Fourth Proportional to 236.75, 354.65 and 182.01

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Solution

The fourth proportional to 236.75, 354.65 and 182.01 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.75 : 354.65 = 182.01 : x
  2. Step 2: Convert to fraction form
    236.75/354.65 = 182.01/x
  3. Step 3: Cross multiply
    236.75x = 354.65 × 182.01
  4. Step 4: Simplify right side
    236.75x = 64,548.94
  5. Step 5: Solve for x
    x = 64,548.94/236.75
  6. Step 6: Final answer
    x = 272.64

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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.