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Finding the Fourth Proportional to 297.66, 446.44 and 135.30

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Solution

The fourth proportional to 297.66, 446.44 and 135.30 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 446.44 = 135.30 : x
  2. Step 2: Convert to fraction form
    297.66/446.44 = 135.30/x
  3. Step 3: Cross multiply
    297.66x = 446.44 × 135.30
  4. Step 4: Simplify right side
    297.66x = 60,404.54
  5. Step 5: Solve for x
    x = 60,404.54/297.66
  6. Step 6: Final answer
    x = 202.93

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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.