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Finding the Fourth Proportional to 297.02, 444.90 and 168.50

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Solution

The fourth proportional to 297.02, 444.90 and 168.50 is: 252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.02 : 444.90 = 168.50 : x
  2. Step 2: Convert to fraction form
    297.02/444.90 = 168.50/x
  3. Step 3: Cross multiply
    297.02x = 444.90 × 168.50
  4. Step 4: Simplify right side
    297.02x = 74,965.65
  5. Step 5: Solve for x
    x = 74,965.65/297.02
  6. Step 6: Final answer
    x = 252.39

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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.