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Finding the Fourth Proportional to 297.74, 446.61 and 135.23

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Solution

The fourth proportional to 297.74, 446.61 and 135.23 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 446.61 = 135.23 : x
  2. Step 2: Convert to fraction form
    297.74/446.61 = 135.23/x
  3. Step 3: Cross multiply
    297.74x = 446.61 × 135.23
  4. Step 4: Simplify right side
    297.74x = 60,392.84
  5. Step 5: Solve for x
    x = 60,392.84/297.74
  6. Step 6: Final answer
    x = 202.84

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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.