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Finding the Fourth Proportional to 297.46, 446.10 and 135.19

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Solution

The fourth proportional to 297.46, 446.10 and 135.19 is: 202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 446.10 = 135.19 : x
  2. Step 2: Convert to fraction form
    297.46/446.10 = 135.19/x
  3. Step 3: Cross multiply
    297.46x = 446.10 × 135.19
  4. Step 4: Simplify right side
    297.46x = 60,308.26
  5. Step 5: Solve for x
    x = 60,308.26/297.46
  6. Step 6: Final answer
    x = 202.74

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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.