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Finding the Fourth Proportional to 220.78, 304.70 and 133.46

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Solution

The fourth proportional to 220.78, 304.70 and 133.46 is: 184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 304.70 = 133.46 : x
  2. Step 2: Convert to fraction form
    220.78/304.70 = 133.46/x
  3. Step 3: Cross multiply
    220.78x = 304.70 × 133.46
  4. Step 4: Simplify right side
    220.78x = 40,664.59
  5. Step 5: Solve for x
    x = 40,664.59/220.78
  6. Step 6: Final answer
    x = 184.19

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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.