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Finding the Fourth Proportional to 145.26, 200.34 and 108.41

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Solution

The fourth proportional to 145.26, 200.34 and 108.41 is: 149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.26 : 200.34 = 108.41 : x
  2. Step 2: Convert to fraction form
    145.26/200.34 = 108.41/x
  3. Step 3: Cross multiply
    145.26x = 200.34 × 108.41
  4. Step 4: Simplify right side
    145.26x = 21,717.86
  5. Step 5: Solve for x
    x = 21,717.86/145.26
  6. Step 6: Final answer
    x = 149.51

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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.