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Finding the Fourth Proportional to 146.36, 219.56 and 139.08

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Solution

The fourth proportional to 146.36, 219.56 and 139.08 is: 208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.36 : 219.56 = 139.08 : x
  2. Step 2: Convert to fraction form
    146.36/219.56 = 139.08/x
  3. Step 3: Cross multiply
    146.36x = 219.56 × 139.08
  4. Step 4: Simplify right side
    146.36x = 30,536.40
  5. Step 5: Solve for x
    x = 30,536.40/146.36
  6. Step 6: Final answer
    x = 208.64

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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.