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Finding the Fourth Proportional to 220.42, 304.14 and 142.84

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Solution

The fourth proportional to 220.42, 304.14 and 142.84 is: 197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.42 : 304.14 = 142.84 : x
  2. Step 2: Convert to fraction form
    220.42/304.14 = 142.84/x
  3. Step 3: Cross multiply
    220.42x = 304.14 × 142.84
  4. Step 4: Simplify right side
    220.42x = 43,443.36
  5. Step 5: Solve for x
    x = 43,443.36/220.42
  6. Step 6: Final answer
    x = 197.09

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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.