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Finding the Fourth Proportional to 297.50, 446.29 and 102.52

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Solution

The fourth proportional to 297.50, 446.29 and 102.52 is: 153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.50 : 446.29 = 102.52 : x
  2. Step 2: Convert to fraction form
    297.50/446.29 = 102.52/x
  3. Step 3: Cross multiply
    297.50x = 446.29 × 102.52
  4. Step 4: Simplify right side
    297.50x = 45,753.65
  5. Step 5: Solve for x
    x = 45,753.65/297.50
  6. Step 6: Final answer
    x = 153.79

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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.