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Finding the Fourth Proportional to 231.84, 320.10 and 144.68

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Solution

The fourth proportional to 231.84, 320.10 and 144.68 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 320.10 = 144.68 : x
  2. Step 2: Convert to fraction form
    231.84/320.10 = 144.68/x
  3. Step 3: Cross multiply
    231.84x = 320.10 × 144.68
  4. Step 4: Simplify right side
    231.84x = 46,310.47
  5. Step 5: Solve for x
    x = 46,310.47/231.84
  6. Step 6: Final answer
    x = 199.75

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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.