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Finding the Fourth Proportional to 297.60, 446.40 and 135.24

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Solution

The fourth proportional to 297.60, 446.40 and 135.24 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 446.40 = 135.24 : x
  2. Step 2: Convert to fraction form
    297.60/446.40 = 135.24/x
  3. Step 3: Cross multiply
    297.60x = 446.40 × 135.24
  4. Step 4: Simplify right side
    297.60x = 60,371.14
  5. Step 5: Solve for x
    x = 60,371.14/297.60
  6. Step 6: Final answer
    x = 202.86

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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.