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Finding the Fourth Proportional to 179.83, 268.44 and 155.61

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Solution

The fourth proportional to 179.83, 268.44 and 155.61 is: 232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.83 : 268.44 = 155.61 : x
  2. Step 2: Convert to fraction form
    179.83/268.44 = 155.61/x
  3. Step 3: Cross multiply
    179.83x = 268.44 × 155.61
  4. Step 4: Simplify right side
    179.83x = 41,771.36
  5. Step 5: Solve for x
    x = 41,771.36/179.83
  6. Step 6: Final answer
    x = 232.29

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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.