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Finding the Fourth Proportional to 297.78, 446.70 and 105.42

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Solution

The fourth proportional to 297.78, 446.70 and 105.42 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 446.70 = 105.42 : x
  2. Step 2: Convert to fraction form
    297.78/446.70 = 105.42/x
  3. Step 3: Cross multiply
    297.78x = 446.70 × 105.42
  4. Step 4: Simplify right side
    297.78x = 47,091.11
  5. Step 5: Solve for x
    x = 47,091.11/297.78
  6. Step 6: Final answer
    x = 158.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.