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Finding the Fourth Proportional to 279.98, 419.84 and 106.66

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Solution

The fourth proportional to 279.98, 419.84 and 106.66 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.98 : 419.84 = 106.66 : x
  2. Step 2: Convert to fraction form
    279.98/419.84 = 106.66/x
  3. Step 3: Cross multiply
    279.98x = 419.84 × 106.66
  4. Step 4: Simplify right side
    279.98x = 44,780.13
  5. Step 5: Solve for x
    x = 44,780.13/279.98
  6. Step 6: Final answer
    x = 159.94

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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.