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Finding the Fourth Proportional to 279.10, 418.70 and 105.76

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Solution

The fourth proportional to 279.10, 418.70 and 105.76 is: 158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.10 : 418.70 = 105.76 : x
  2. Step 2: Convert to fraction form
    279.10/418.70 = 105.76/x
  3. Step 3: Cross multiply
    279.10x = 418.70 × 105.76
  4. Step 4: Simplify right side
    279.10x = 44,281.71
  5. Step 5: Solve for x
    x = 44,281.71/279.10
  6. Step 6: Final answer
    x = 158.66

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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.