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Finding the Fourth Proportional to 297.69, 446.36 and 135.22

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Solution

The fourth proportional to 297.69, 446.36 and 135.22 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.69 : 446.36 = 135.22 : x
  2. Step 2: Convert to fraction form
    297.69/446.36 = 135.22/x
  3. Step 3: Cross multiply
    297.69x = 446.36 × 135.22
  4. Step 4: Simplify right side
    297.69x = 60,356.02
  5. Step 5: Solve for x
    x = 60,356.02/297.69
  6. Step 6: Final answer
    x = 202.75

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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.