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Finding the Fourth Proportional to 222.93, 334.56 and 165.29

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Solution

The fourth proportional to 222.93, 334.56 and 165.29 is: 248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.93 : 334.56 = 165.29 : x
  2. Step 2: Convert to fraction form
    222.93/334.56 = 165.29/x
  3. Step 3: Cross multiply
    222.93x = 334.56 × 165.29
  4. Step 4: Simplify right side
    222.93x = 55,298.37
  5. Step 5: Solve for x
    x = 55,298.37/222.93
  6. Step 6: Final answer
    x = 248.05

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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.