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Finding the Fourth Proportional to 231.88, 319.80 and 154.24

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Solution

The fourth proportional to 231.88, 319.80 and 154.24 is: 212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.88 : 319.80 = 154.24 : x
  2. Step 2: Convert to fraction form
    231.88/319.80 = 154.24/x
  3. Step 3: Cross multiply
    231.88x = 319.80 × 154.24
  4. Step 4: Simplify right side
    231.88x = 49,325.95
  5. Step 5: Solve for x
    x = 49,325.95/231.88
  6. Step 6: Final answer
    x = 212.72

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Why These Related Problems?

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