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Finding the Fourth Proportional to 151.61, 209.27 and 135.41

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Solution

The fourth proportional to 151.61, 209.27 and 135.41 is: 186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.61 : 209.27 = 135.41 : x
  2. Step 2: Convert to fraction form
    151.61/209.27 = 135.41/x
  3. Step 3: Cross multiply
    151.61x = 209.27 × 135.41
  4. Step 4: Simplify right side
    151.61x = 28,336.54
  5. Step 5: Solve for x
    x = 28,336.54/151.61
  6. Step 6: Final answer
    x = 186.91

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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.