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Finding the Fourth Proportional to 154.51, 231.86 and 127.78

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Solution

The fourth proportional to 154.51, 231.86 and 127.78 is: 191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.51 : 231.86 = 127.78 : x
  2. Step 2: Convert to fraction form
    154.51/231.86 = 127.78/x
  3. Step 3: Cross multiply
    154.51x = 231.86 × 127.78
  4. Step 4: Simplify right side
    154.51x = 29,626.81
  5. Step 5: Solve for x
    x = 29,626.81/154.51
  6. Step 6: Final answer
    x = 191.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.