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Finding the Fourth Proportional to 185.88, 277.80 and 171.28

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Solution

The fourth proportional to 185.88, 277.80 and 171.28 is: 255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 277.80 = 171.28 : x
  2. Step 2: Convert to fraction form
    185.88/277.80 = 171.28/x
  3. Step 3: Cross multiply
    185.88x = 277.80 × 171.28
  4. Step 4: Simplify right side
    185.88x = 47,581.58
  5. Step 5: Solve for x
    x = 47,581.58/185.88
  6. Step 6: Final answer
    x = 255.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.