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Finding the Fourth Proportional to 220.17, 303.42 and 164.70

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Solution

The fourth proportional to 220.17, 303.42 and 164.70 is: 226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.17 : 303.42 = 164.70 : x
  2. Step 2: Convert to fraction form
    220.17/303.42 = 164.70/x
  3. Step 3: Cross multiply
    220.17x = 303.42 × 164.70
  4. Step 4: Simplify right side
    220.17x = 49,973.27
  5. Step 5: Solve for x
    x = 49,973.27/220.17
  6. Step 6: Final answer
    x = 226.98

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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.