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Finding the Fourth Proportional to 153.82, 231.09 and 141.94

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Solution

The fourth proportional to 153.82, 231.09 and 141.94 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.82 : 231.09 = 141.94 : x
  2. Step 2: Convert to fraction form
    153.82/231.09 = 141.94/x
  3. Step 3: Cross multiply
    153.82x = 231.09 × 141.94
  4. Step 4: Simplify right side
    153.82x = 32,800.91
  5. Step 5: Solve for x
    x = 32,800.91/153.82
  6. Step 6: Final answer
    x = 213.24

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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.