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Finding the Fourth Proportional to 151.91, 208.86 and 135.15

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Solution

The fourth proportional to 151.91, 208.86 and 135.15 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.91 : 208.86 = 135.15 : x
  2. Step 2: Convert to fraction form
    151.91/208.86 = 135.15/x
  3. Step 3: Cross multiply
    151.91x = 208.86 × 135.15
  4. Step 4: Simplify right side
    151.91x = 28,226.62
  5. Step 5: Solve for x
    x = 28,226.62/151.91
  6. Step 6: Final answer
    x = 185.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.