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Finding the Fourth Proportional to 185.10, 276.30 and 171.75

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Solution

The fourth proportional to 185.10, 276.30 and 171.75 is: 256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.10 : 276.30 = 171.75 : x
  2. Step 2: Convert to fraction form
    185.10/276.30 = 171.75/x
  3. Step 3: Cross multiply
    185.10x = 276.30 × 171.75
  4. Step 4: Simplify right side
    185.10x = 47,454.53
  5. Step 5: Solve for x
    x = 47,454.53/185.10
  6. Step 6: Final answer
    x = 256.37

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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.