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Finding the Fourth Proportional to 145.44, 217.61 and 137.22

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Solution

The fourth proportional to 145.44, 217.61 and 137.22 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.44 : 217.61 = 137.22 : x
  2. Step 2: Convert to fraction form
    145.44/217.61 = 137.22/x
  3. Step 3: Cross multiply
    145.44x = 217.61 × 137.22
  4. Step 4: Simplify right side
    145.44x = 29,861.86
  5. Step 5: Solve for x
    x = 29,861.86/145.44
  6. Step 6: Final answer
    x = 205.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.