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Finding the Fourth Proportional to 154.86, 231.87 and 145.24

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Solution

The fourth proportional to 154.86, 231.87 and 145.24 is: 217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 231.87 = 145.24 : x
  2. Step 2: Convert to fraction form
    154.86/231.87 = 145.24/x
  3. Step 3: Cross multiply
    154.86x = 231.87 × 145.24
  4. Step 4: Simplify right side
    154.86x = 33,676.80
  5. Step 5: Solve for x
    x = 33,676.80/154.86
  6. Step 6: Final answer
    x = 217.47

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Why These Related Problems?

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