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Finding the Fourth Proportional to 297.76, 446.62 and 105.40

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Solution

The fourth proportional to 297.76, 446.62 and 105.40 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.76 : 446.62 = 105.40 : x
  2. Step 2: Convert to fraction form
    297.76/446.62 = 105.40/x
  3. Step 3: Cross multiply
    297.76x = 446.62 × 105.40
  4. Step 4: Simplify right side
    297.76x = 47,073.75
  5. Step 5: Solve for x
    x = 47,073.75/297.76
  6. Step 6: Final answer
    x = 158.09

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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.