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Finding the Fourth Proportional to 179.25, 269.37 and 139.16

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Solution

The fourth proportional to 179.25, 269.37 and 139.16 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.25 : 269.37 = 139.16 : x
  2. Step 2: Convert to fraction form
    179.25/269.37 = 139.16/x
  3. Step 3: Cross multiply
    179.25x = 269.37 × 139.16
  4. Step 4: Simplify right side
    179.25x = 37,484.18
  5. Step 5: Solve for x
    x = 37,484.18/179.25
  6. Step 6: Final answer
    x = 209.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.