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Finding the Fourth Proportional to 144.32, 198.75 and 143.88

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Solution

The fourth proportional to 144.32, 198.75 and 143.88 is: 198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.32 : 198.75 = 143.88 : x
  2. Step 2: Convert to fraction form
    144.32/198.75 = 143.88/x
  3. Step 3: Cross multiply
    144.32x = 198.75 × 143.88
  4. Step 4: Simplify right side
    144.32x = 28,595.94
  5. Step 5: Solve for x
    x = 28,595.94/144.32
  6. Step 6: Final answer
    x = 198.15

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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.