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Finding the Fourth Proportional to 155.51, 214.47 and 134.78

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Solution

The fourth proportional to 155.51, 214.47 and 134.78 is: 185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.51 : 214.47 = 134.78 : x
  2. Step 2: Convert to fraction form
    155.51/214.47 = 134.78/x
  3. Step 3: Cross multiply
    155.51x = 214.47 × 134.78
  4. Step 4: Simplify right side
    155.51x = 28,906.27
  5. Step 5: Solve for x
    x = 28,906.27/155.51
  6. Step 6: Final answer
    x = 185.88

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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.