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Finding the Fourth Proportional to 236.12, 326.06 and 147.76

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Solution

The fourth proportional to 236.12, 326.06 and 147.76 is: 204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.12 : 326.06 = 147.76 : x
  2. Step 2: Convert to fraction form
    236.12/326.06 = 147.76/x
  3. Step 3: Cross multiply
    236.12x = 326.06 × 147.76
  4. Step 4: Simplify right side
    236.12x = 48,178.63
  5. Step 5: Solve for x
    x = 48,178.63/236.12
  6. Step 6: Final answer
    x = 204.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.