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Finding the Fourth Proportional to 220.64, 304.32 and 171.44

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Solution

The fourth proportional to 220.64, 304.32 and 171.44 is: 236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.64 : 304.32 = 171.44 : x
  2. Step 2: Convert to fraction form
    220.64/304.32 = 171.44/x
  3. Step 3: Cross multiply
    220.64x = 304.32 × 171.44
  4. Step 4: Simplify right side
    220.64x = 52,172.62
  5. Step 5: Solve for x
    x = 52,172.62/220.64
  6. Step 6: Final answer
    x = 236.46

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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.