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Finding the Fourth Proportional to 151.26, 208.44 and 109.74

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Solution

The fourth proportional to 151.26, 208.44 and 109.74 is: 151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.26 : 208.44 = 109.74 : x
  2. Step 2: Convert to fraction form
    151.26/208.44 = 109.74/x
  3. Step 3: Cross multiply
    151.26x = 208.44 × 109.74
  4. Step 4: Simplify right side
    151.26x = 22,874.21
  5. Step 5: Solve for x
    x = 22,874.21/151.26
  6. Step 6: Final answer
    x = 151.22

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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.