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Finding the Fourth Proportional to 151.21, 208.46 and 135.83

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Solution

The fourth proportional to 151.21, 208.46 and 135.83 is: 187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.21 : 208.46 = 135.83 : x
  2. Step 2: Convert to fraction form
    151.21/208.46 = 135.83/x
  3. Step 3: Cross multiply
    151.21x = 208.46 × 135.83
  4. Step 4: Simplify right side
    151.21x = 28,314.26
  5. Step 5: Solve for x
    x = 28,314.26/151.21
  6. Step 6: Final answer
    x = 187.26

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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.