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Finding the Fourth Proportional to 279.34, 418.95 and 106

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Solution

The fourth proportional to 279.34, 418.95 and 106 is: 158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.34 : 418.95 = 106 : x
  2. Step 2: Convert to fraction form
    279.34/418.95 = 106/x
  3. Step 3: Cross multiply
    279.34x = 418.95 × 106
  4. Step 4: Simplify right side
    279.34x = 44,408.70
  5. Step 5: Solve for x
    x = 44,408.70/279.34
  6. Step 6: Final answer
    x = 158.98

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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.