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Finding the Fourth Proportional to 145.14, 200.12 and 137.44

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Solution

The fourth proportional to 145.14, 200.12 and 137.44 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 200.12 = 137.44 : x
  2. Step 2: Convert to fraction form
    145.14/200.12 = 137.44/x
  3. Step 3: Cross multiply
    145.14x = 200.12 × 137.44
  4. Step 4: Simplify right side
    145.14x = 27,504.49
  5. Step 5: Solve for x
    x = 27,504.49/145.14
  6. Step 6: Final answer
    x = 189.50

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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.