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Finding the Fourth Proportional to 297.93, 446.97 and 92.53

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Solution

The fourth proportional to 297.93, 446.97 and 92.53 is: 138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.93 : 446.97 = 92.53 : x
  2. Step 2: Convert to fraction form
    297.93/446.97 = 92.53/x
  3. Step 3: Cross multiply
    297.93x = 446.97 × 92.53
  4. Step 4: Simplify right side
    297.93x = 41,356.01
  5. Step 5: Solve for x
    x = 41,356.01/297.93
  6. Step 6: Final answer
    x = 138.81

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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.