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Finding the Fourth Proportional to 185.74, 277.31 and 170.35

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Solution

The fourth proportional to 185.74, 277.31 and 170.35 is: 254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.74 : 277.31 = 170.35 : x
  2. Step 2: Convert to fraction form
    185.74/277.31 = 170.35/x
  3. Step 3: Cross multiply
    185.74x = 277.31 × 170.35
  4. Step 4: Simplify right side
    185.74x = 47,239.76
  5. Step 5: Solve for x
    x = 47,239.76/185.74
  6. Step 6: Final answer
    x = 254.33

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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.