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Finding the Fourth Proportional to 187.09, 281.77 and 171.01

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Solution

The fourth proportional to 187.09, 281.77 and 171.01 is: 257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.09 : 281.77 = 171.01 : x
  2. Step 2: Convert to fraction form
    187.09/281.77 = 171.01/x
  3. Step 3: Cross multiply
    187.09x = 281.77 × 171.01
  4. Step 4: Simplify right side
    187.09x = 48,185.49
  5. Step 5: Solve for x
    x = 48,185.49/187.09
  6. Step 6: Final answer
    x = 257.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.