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Finding the Fourth Proportional to 155.36, 232.56 and 119.24

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Solution

The fourth proportional to 155.36, 232.56 and 119.24 is: 178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.36 : 232.56 = 119.24 : x
  2. Step 2: Convert to fraction form
    155.36/232.56 = 119.24/x
  3. Step 3: Cross multiply
    155.36x = 232.56 × 119.24
  4. Step 4: Simplify right side
    155.36x = 27,730.45
  5. Step 5: Solve for x
    x = 27,730.45/155.36
  6. Step 6: Final answer
    x = 178.49

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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.