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Finding the Fourth Proportional to 180.46, 269.22 and 174.31

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Solution

The fourth proportional to 180.46, 269.22 and 174.31 is: 260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 269.22 = 174.31 : x
  2. Step 2: Convert to fraction form
    180.46/269.22 = 174.31/x
  3. Step 3: Cross multiply
    180.46x = 269.22 × 174.31
  4. Step 4: Simplify right side
    180.46x = 46,926.74
  5. Step 5: Solve for x
    x = 46,926.74/180.46
  6. Step 6: Final answer
    x = 260.04

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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.