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Finding the Fourth Proportional to 180.70, 269.27 and 174.16

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Solution

The fourth proportional to 180.70, 269.27 and 174.16 is: 259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.70 : 269.27 = 174.16 : x
  2. Step 2: Convert to fraction form
    180.70/269.27 = 174.16/x
  3. Step 3: Cross multiply
    180.70x = 269.27 × 174.16
  4. Step 4: Simplify right side
    180.70x = 46,896.06
  5. Step 5: Solve for x
    x = 46,896.06/180.70
  6. Step 6: Final answer
    x = 259.52

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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.