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Finding the Fourth Proportional to 144.19, 214.83 and 134.88

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Solution

The fourth proportional to 144.19, 214.83 and 134.88 is: 200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.19 : 214.83 = 134.88 : x
  2. Step 2: Convert to fraction form
    144.19/214.83 = 134.88/x
  3. Step 3: Cross multiply
    144.19x = 214.83 × 134.88
  4. Step 4: Simplify right side
    144.19x = 28,976.27
  5. Step 5: Solve for x
    x = 28,976.27/144.19
  6. Step 6: Final answer
    x = 200.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.