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Finding the Fourth Proportional to 180.12, 269.12 and 158.56

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Solution

The fourth proportional to 180.12, 269.12 and 158.56 is: 236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 269.12 = 158.56 : x
  2. Step 2: Convert to fraction form
    180.12/269.12 = 158.56/x
  3. Step 3: Cross multiply
    180.12x = 269.12 × 158.56
  4. Step 4: Simplify right side
    180.12x = 42,671.39
  5. Step 5: Solve for x
    x = 42,671.39/180.12
  6. Step 6: Final answer
    x = 236.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.