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Finding the Fourth Proportional to 220.64, 332.36 and 164

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Solution

The fourth proportional to 220.64, 332.36 and 164 is: 247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.64 : 332.36 = 164 : x
  2. Step 2: Convert to fraction form
    220.64/332.36 = 164/x
  3. Step 3: Cross multiply
    220.64x = 332.36 × 164
  4. Step 4: Simplify right side
    220.64x = 54,507.04
  5. Step 5: Solve for x
    x = 54,507.04/220.64
  6. Step 6: Final answer
    x = 247.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.