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Finding the Fourth Proportional to 185.22, 275.57 and 174.29

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Solution

The fourth proportional to 185.22, 275.57 and 174.29 is: 259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 275.57 = 174.29 : x
  2. Step 2: Convert to fraction form
    185.22/275.57 = 174.29/x
  3. Step 3: Cross multiply
    185.22x = 275.57 × 174.29
  4. Step 4: Simplify right side
    185.22x = 48,029.10
  5. Step 5: Solve for x
    x = 48,029.10/185.22
  6. Step 6: Final answer
    x = 259.31

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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.