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Finding the Fourth Proportional to 155.78, 234.65 and 119.96

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Solution

The fourth proportional to 155.78, 234.65 and 119.96 is: 180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.78 : 234.65 = 119.96 : x
  2. Step 2: Convert to fraction form
    155.78/234.65 = 119.96/x
  3. Step 3: Cross multiply
    155.78x = 234.65 × 119.96
  4. Step 4: Simplify right side
    155.78x = 28,148.61
  5. Step 5: Solve for x
    x = 28,148.61/155.78
  6. Step 6: Final answer
    x = 180.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.