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Finding the Fourth Proportional to 294.54, 441.34 and 164.34

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Solution

The fourth proportional to 294.54, 441.34 and 164.34 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.54 : 441.34 = 164.34 : x
  2. Step 2: Convert to fraction form
    294.54/441.34 = 164.34/x
  3. Step 3: Cross multiply
    294.54x = 441.34 × 164.34
  4. Step 4: Simplify right side
    294.54x = 72,529.82
  5. Step 5: Solve for x
    x = 72,529.82/294.54
  6. Step 6: Final answer
    x = 246.25

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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.