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Finding the Fourth Proportional to 279.41, 419.18 and 106.16

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Solution

The fourth proportional to 279.41, 419.18 and 106.16 is: 159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.41 : 419.18 = 106.16 : x
  2. Step 2: Convert to fraction form
    279.41/419.18 = 106.16/x
  3. Step 3: Cross multiply
    279.41x = 419.18 × 106.16
  4. Step 4: Simplify right side
    279.41x = 44,499.88
  5. Step 5: Solve for x
    x = 44,499.88/279.41
  6. Step 6: Final answer
    x = 159.26

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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.