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Finding the Fourth Proportional to 151.26, 208.88 and 116.36

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Solution

The fourth proportional to 151.26, 208.88 and 116.36 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.26 : 208.88 = 116.36 : x
  2. Step 2: Convert to fraction form
    151.26/208.88 = 116.36/x
  3. Step 3: Cross multiply
    151.26x = 208.88 × 116.36
  4. Step 4: Simplify right side
    151.26x = 24,305.28
  5. Step 5: Solve for x
    x = 24,305.28/151.26
  6. Step 6: Final answer
    x = 160.69

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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.