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Finding the Fourth Proportional to 219.75, 303.19 and 140.93

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Solution

The fourth proportional to 219.75, 303.19 and 140.93 is: 194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 303.19 = 140.93 : x
  2. Step 2: Convert to fraction form
    219.75/303.19 = 140.93/x
  3. Step 3: Cross multiply
    219.75x = 303.19 × 140.93
  4. Step 4: Simplify right side
    219.75x = 42,728.57
  5. Step 5: Solve for x
    x = 42,728.57/219.75
  6. Step 6: Final answer
    x = 194.44

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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.