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Finding the Fourth Proportional to 219.74, 303.27 and 142.34

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Solution

The fourth proportional to 219.74, 303.27 and 142.34 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.74 : 303.27 = 142.34 : x
  2. Step 2: Convert to fraction form
    219.74/303.27 = 142.34/x
  3. Step 3: Cross multiply
    219.74x = 303.27 × 142.34
  4. Step 4: Simplify right side
    219.74x = 43,167.45
  5. Step 5: Solve for x
    x = 43,167.45/219.74
  6. Step 6: Final answer
    x = 196.45

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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.