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Finding the Fourth Proportional to 236.55, 354.87 and 106.56

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Solution

The fourth proportional to 236.55, 354.87 and 106.56 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.55 : 354.87 = 106.56 : x
  2. Step 2: Convert to fraction form
    236.55/354.87 = 106.56/x
  3. Step 3: Cross multiply
    236.55x = 354.87 × 106.56
  4. Step 4: Simplify right side
    236.55x = 37,813.88
  5. Step 5: Solve for x
    x = 37,813.88/236.55
  6. Step 6: Final answer
    x = 159.85

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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.