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Finding the Fourth Proportional to 223.36, 335.04 and 146.81

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Solution

The fourth proportional to 223.36, 335.04 and 146.81 is: 220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.36 : 335.04 = 146.81 : x
  2. Step 2: Convert to fraction form
    223.36/335.04 = 146.81/x
  3. Step 3: Cross multiply
    223.36x = 335.04 × 146.81
  4. Step 4: Simplify right side
    223.36x = 49,185.55
  5. Step 5: Solve for x
    x = 49,185.55/223.36
  6. Step 6: Final answer
    x = 220.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.