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Finding the Fourth Proportional to 144.90, 200.34 and 136.80

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Solution

The fourth proportional to 144.90, 200.34 and 136.80 is: 189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 200.34 = 136.80 : x
  2. Step 2: Convert to fraction form
    144.90/200.34 = 136.80/x
  3. Step 3: Cross multiply
    144.90x = 200.34 × 136.80
  4. Step 4: Simplify right side
    144.90x = 27,406.51
  5. Step 5: Solve for x
    x = 27,406.51/144.90
  6. Step 6: Final answer
    x = 189.14

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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.