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Finding the Fourth Proportional to 145.36, 217.96 and 139.44

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Solution

The fourth proportional to 145.36, 217.96 and 139.44 is: 209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.36 : 217.96 = 139.44 : x
  2. Step 2: Convert to fraction form
    145.36/217.96 = 139.44/x
  3. Step 3: Cross multiply
    145.36x = 217.96 × 139.44
  4. Step 4: Simplify right side
    145.36x = 30,392.34
  5. Step 5: Solve for x
    x = 30,392.34/145.36
  6. Step 6: Final answer
    x = 209.08

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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.