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Finding the Fourth Proportional to 231.84, 320.00 and 144.48

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Solution

The fourth proportional to 231.84, 320.00 and 144.48 is: 199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 320.00 = 144.48 : x
  2. Step 2: Convert to fraction form
    231.84/320.00 = 144.48/x
  3. Step 3: Cross multiply
    231.84x = 320.00 × 144.48
  4. Step 4: Simplify right side
    231.84x = 46,232.88
  5. Step 5: Solve for x
    x = 46,232.88/231.84
  6. Step 6: Final answer
    x = 199.42

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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.