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Finding the Fourth Proportional to 219.90, 303.54 and 137

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Solution

The fourth proportional to 219.90, 303.54 and 137 is: 189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 303.54 = 137 : x
  2. Step 2: Convert to fraction form
    219.90/303.54 = 137/x
  3. Step 3: Cross multiply
    219.90x = 303.54 × 137
  4. Step 4: Simplify right side
    219.90x = 41,584.98
  5. Step 5: Solve for x
    x = 41,584.98/219.90
  6. Step 6: Final answer
    x = 189.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.