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Finding the Fourth Proportional to 220.95, 304.95 and 133.62

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Solution

The fourth proportional to 220.95, 304.95 and 133.62 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.95 : 304.95 = 133.62 : x
  2. Step 2: Convert to fraction form
    220.95/304.95 = 133.62/x
  3. Step 3: Cross multiply
    220.95x = 304.95 × 133.62
  4. Step 4: Simplify right side
    220.95x = 40,747.42
  5. Step 5: Solve for x
    x = 40,747.42/220.95
  6. Step 6: Final answer
    x = 184.42

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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.