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Finding the Fourth Proportional to 203.58, 281.34 and 164.16

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Solution

The fourth proportional to 203.58, 281.34 and 164.16 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.58 : 281.34 = 164.16 : x
  2. Step 2: Convert to fraction form
    203.58/281.34 = 164.16/x
  3. Step 3: Cross multiply
    203.58x = 281.34 × 164.16
  4. Step 4: Simplify right side
    203.58x = 46,184.77
  5. Step 5: Solve for x
    x = 46,184.77/203.58
  6. Step 6: Final answer
    x = 226.86

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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.