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Finding the Fourth Proportional to 297.30, 445.68 and 102.26

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Solution

The fourth proportional to 297.30, 445.68 and 102.26 is: 153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 445.68 = 102.26 : x
  2. Step 2: Convert to fraction form
    297.30/445.68 = 102.26/x
  3. Step 3: Cross multiply
    297.30x = 445.68 × 102.26
  4. Step 4: Simplify right side
    297.30x = 45,575.24
  5. Step 5: Solve for x
    x = 45,575.24/297.30
  6. Step 6: Final answer
    x = 153.30

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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.