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Finding the Fourth Proportional to 279.62, 419.16 and 106.16

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Solution

The fourth proportional to 279.62, 419.16 and 106.16 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.62 : 419.16 = 106.16 : x
  2. Step 2: Convert to fraction form
    279.62/419.16 = 106.16/x
  3. Step 3: Cross multiply
    279.62x = 419.16 × 106.16
  4. Step 4: Simplify right side
    279.62x = 44,498.03
  5. Step 5: Solve for x
    x = 44,498.03/279.62
  6. Step 6: Final answer
    x = 159.14

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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.