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Finding the Fourth Proportional to 155.56, 214.02 and 134.78

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Solution

The fourth proportional to 155.56, 214.02 and 134.78 is: 185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.56 : 214.02 = 134.78 : x
  2. Step 2: Convert to fraction form
    155.56/214.02 = 134.78/x
  3. Step 3: Cross multiply
    155.56x = 214.02 × 134.78
  4. Step 4: Simplify right side
    155.56x = 28,845.62
  5. Step 5: Solve for x
    x = 28,845.62/155.56
  6. Step 6: Final answer
    x = 185.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.