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Finding the Fourth Proportional to 297.54, 446.30 and 105.16

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Solution

The fourth proportional to 297.54, 446.30 and 105.16 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 446.30 = 105.16 : x
  2. Step 2: Convert to fraction form
    297.54/446.30 = 105.16/x
  3. Step 3: Cross multiply
    297.54x = 446.30 × 105.16
  4. Step 4: Simplify right side
    297.54x = 46,932.91
  5. Step 5: Solve for x
    x = 46,932.91/297.54
  6. Step 6: Final answer
    x = 157.74

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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.