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Finding the Fourth Proportional to 298.40, 447.56 and 106

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Solution

The fourth proportional to 298.40, 447.56 and 106 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.40 : 447.56 = 106 : x
  2. Step 2: Convert to fraction form
    298.40/447.56 = 106/x
  3. Step 3: Cross multiply
    298.40x = 447.56 × 106
  4. Step 4: Simplify right side
    298.40x = 47,441.36
  5. Step 5: Solve for x
    x = 47,441.36/298.40
  6. Step 6: Final answer
    x = 158.99

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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.