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Finding the Fourth Proportional to 154.86, 231.25 and 145.86

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Solution

The fourth proportional to 154.86, 231.25 and 145.86 is: 217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 231.25 = 145.86 : x
  2. Step 2: Convert to fraction form
    154.86/231.25 = 145.86/x
  3. Step 3: Cross multiply
    154.86x = 231.25 × 145.86
  4. Step 4: Simplify right side
    154.86x = 33,728.97
  5. Step 5: Solve for x
    x = 33,728.97/154.86
  6. Step 6: Final answer
    x = 217.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.