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Finding the Fourth Proportional to 219.89, 303.59 and 137.12

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Solution

The fourth proportional to 219.89, 303.59 and 137.12 is: 189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.89 : 303.59 = 137.12 : x
  2. Step 2: Convert to fraction form
    219.89/303.59 = 137.12/x
  3. Step 3: Cross multiply
    219.89x = 303.59 × 137.12
  4. Step 4: Simplify right side
    219.89x = 41,626.06
  5. Step 5: Solve for x
    x = 41,626.06/219.89
  6. Step 6: Final answer
    x = 189.30

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Why These Related Problems?

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