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Finding the Fourth Proportional to 294.29, 441.49 and 164.37

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Solution

The fourth proportional to 294.29, 441.49 and 164.37 is: 246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.29 : 441.49 = 164.37 : x
  2. Step 2: Convert to fraction form
    294.29/441.49 = 164.37/x
  3. Step 3: Cross multiply
    294.29x = 441.49 × 164.37
  4. Step 4: Simplify right side
    294.29x = 72,566.26
  5. Step 5: Solve for x
    x = 72,566.26/294.29
  6. Step 6: Final answer
    x = 246.58

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Why These Related Problems?

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