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Finding the Fourth Proportional to 220.61, 304.63 and 141.98

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Solution

The fourth proportional to 220.61, 304.63 and 141.98 is: 196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.61 : 304.63 = 141.98 : x
  2. Step 2: Convert to fraction form
    220.61/304.63 = 141.98/x
  3. Step 3: Cross multiply
    220.61x = 304.63 × 141.98
  4. Step 4: Simplify right side
    220.61x = 43,249.49
  5. Step 5: Solve for x
    x = 43,249.49/220.61
  6. Step 6: Final answer
    x = 196.04

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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.